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1234055312 = 24747673499
BaseRepresentation
bin100100110001110…
…0011000010010000
310012000002111122022
41021203203002100
510011404232222
6322242031012
742403203620
oct11143430220
93160074568
101234055312
11583657026
122a5348468
13168889259
14b9c76880
1573516042
hex498e3090

1234055312 has 80 divisors (see below), whose sum is σ = 2833152000. Its totient is φ = 509756544.

The previous prime is 1234055297. The next prime is 1234055327. The reversal of 1234055312 is 2135504321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1234055297) and next prime (1234055327).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350939 + ... + 354437.

It is an arithmetic number, because the mean of its divisors is an integer number (35414400).

Almost surely, 21234055312 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 1234055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416576000).

1234055312 is an abundant number, since it is smaller than the sum of its proper divisors (1599096688).

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

1234055312 is a wasteful number, since it uses less digits than its factorization.

1234055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1234055312 is about 35129.1234163336. The cubic root of 1234055312 is about 1072.6174925029.

Adding to 1234055312 its reverse (2135504321), we get a palindrome (3369559633).

The spelling of 1234055312 in words is "one billion, two hundred thirty-four million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 67 94 112 134 188 268 329 376 469 536 658 752 938 1072 1316 1876 2632 3149 3499 3752 5264 6298 6998 7504 12596 13996 22043 24493 25192 27992 44086 48986 50384 55984 88172 97972 164453 176344 195944 234433 328906 352688 391888 468866 657812 937732 1151171 1315624 1641031 1875464 2302342 2631248 3282062 3750928 4604684 6564124 9209368 11018351 13128248 18418736 22036702 26256496 44073404 77128457 88146808 154256914 176293616 308513828 617027656 1234055312