Search a number
-
+
34012032341232 = 24311193390354101
BaseRepresentation
bin1111011101111000010110…
…00110110001010011110000
311110102112000000100201121010
413232330023012301103300
513424223120234404412
6200200524552030520
710110200603535351
oct756741306612360
9143375000321533
1034012032341232
11a923470623790
123993914992440
1315c9422cb400a
14858296725d28
153deae729233c
hex1eef0b1b14f0

34012032341232 has 80 divisors (see below), whose sum is σ = 100896938075520. Its totient is φ = 9764219808000.

The previous prime is 34012032341149. The next prime is 34012032341239. The reversal of 34012032341232 is 23214323021043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34012032341232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012032341239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695167019 + ... + 1695187082.

It is an arithmetic number, because the mean of its divisors is an integer number (1261211725944).

Almost surely, 234012032341232 is an apocalyptic number.

It is an amenable number.

34012032341232 is an abundant number, since it is smaller than the sum of its proper divisors (66884905734288).

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

34012032341232 is a wasteful number, since it uses less digits than its factorization.

34012032341232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390354142 (or 3390354136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34012032341232 its reverse (23214323021043), we get a palindrome (57226355362275).

The spelling of 34012032341232 in words is "thirty-four trillion, twelve billion, thirty-two million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 3390354101 6780708202 10171062303 13561416404 20342124606 27122832808 37293895111 40684249212 54245665616 64416727919 74587790222 81368498424 111881685333 128833455838 149175580444 162736996848 193250183757 223763370666 257666911676 298351160888 386500367514 447526741332 515333823352 596702321776 708584007109 773000735028 895053482664 1030667646704 1417168014218 1546001470056 1790106965328 2125752021327 2834336028436 3092002940112 4251504042654 5668672056872 8503008085308 11337344113744 17006016170616 34012032341232