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34230234231312 = 2437294617620293
BaseRepresentation
bin1111100100001110110001…
…11100111011001000010000
311111012101012212201020020120
413302013120330323020100
513441312004430400222
6200445052535510240
710132024054153320
oct762073074731020
9144171185636216
1034230234231312
11a9a7a62930349
123a0a070228380
131613b88300142
14864a75d89280
153e561869e15c
hex1f21d8f3b210

34230234231312 has 160 divisors (see below), whose sum is σ = 104772336641280. Its totient is φ = 9422338652160.

The previous prime is 34230234231287. The next prime is 34230234231317. The reversal of 34230234231312 is 21313243203243.

It is not an unprimeable number, because it can be changed into a prime (34230234231317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681838 + ... + 8302130.

It is an arithmetic number, because the mean of its divisors is an integer number (654827104008).

Almost surely, 234230234231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230234231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52386168320640).

34230234231312 is an abundant number, since it is smaller than the sum of its proper divisors (70542102409968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34230234231312 is a wasteful number, since it uses less digits than its factorization.

34230234231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620801 (or 7620795 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 34230234231312 its reverse (21313243203243), we get a palindrome (55543477434555).

The spelling of 34230234231312 in words is "thirty-four trillion, two hundred thirty billion, two hundred thirty-four million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 461 464 609 696 812 922 1218 1383 1392 1624 1844 2436 2766 3227 3248 3688 4872 5532 6454 7376 9681 9744 11064 12908 13369 19362 22128 25816 26738 38724 40107 51632 53476 77448 80214 93583 106952 154896 160428 187166 213904 280749 320856 374332 561498 641712 748664 1122996 1497328 2245992 4491984 7620293 15240586 22860879 30481172 45721758 53342051 60962344 91443516 106684102 121924688 160026153 182887032 213368204 220988497 320052306 365774064 426736408 441976994 640104612 662965491 853472816 883953988 1280209224 1325930982 1546919479 1767907976 2560418448 2651861964 3093838958 3512955073 3535815952 4640758437 5303723928 6187677916 7025910146 9281516874 10538865219 10607447856 12375355832 14051820292 18563033748 21077730438 24590685511 24750711664 28103640584 37126067496 42155460876 49181371022 56207281168 73772056533 74252134992 84310921752 98362742044 101875697117 147544113066 168621843504 196725484088 203751394234 295088226132 305627091351 393450968176 407502788468 590176452264 611254182702 713129879819 815005576936 1180352904528 1222508365404 1426259759638 1630011153872 2139389639457 2445016730808 2852519519276 4278779278914 4890033461616 5705039038552 8557558557828 11410078077104 17115117115656 34230234231312