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12341434304 = 263167227409
BaseRepresentation
bin10110111111001101…
…10101011111000000
31011212002120211011102
423133212311133000
5200233401344204
65400343433532
7614555314013
oct133746653700
934762524142
1012341434304
115263466291
1224851558a8
131218b0bc64
148510d937a
154c371641e
hex2df9b57c0

12341434304 has 112 divisors (see below), whose sum is σ = 25833384960. Its totient is φ = 5842298880.

The previous prime is 12341434297. The next prime is 12341434307. The reversal of 12341434304 is 40343414321.

It is a happy number.

It is a super-2 number, since 2×123414343042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341434307) 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, 30174452 + ... + 30174860.

Almost surely, 212341434304 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 12341434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916692480).

12341434304 is an abundant number, since it is smaller than the sum of its proper divisors (13491950656).

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

12341434304 is a wasteful number, since it uses less digits than its factorization.

12341434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12341434304 its reverse (40343414321), we get a palindrome (52684848625).

The spelling of 12341434304 in words is "twelve billion, three hundred forty-one million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 134 227 248 268 409 454 496 536 818 908 992 1072 1636 1816 1984 2077 2144 3272 3632 4154 4288 6544 7037 7264 8308 12679 13088 14074 14528 15209 16616 25358 26176 27403 28148 30418 33232 50716 54806 56296 60836 66464 92843 101432 109612 112592 121672 132928 185686 202864 219224 225184 243344 371372 405728 438448 450368 471479 486688 742744 811456 849493 876896 942958 973376 1485488 1698986 1753792 1885916 2878133 2970976 3397972 3771832 5756266 5941952 6220481 6795944 7543664 11512532 12440962 13591888 15087328 23025064 24881924 27183776 30174656 46050128 49763848 54367552 92100256 99527696 184200512 192834911 199055392 385669822 398110784 771339644 1542679288 3085358576 6170717152 12341434304