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23434341312 = 263378873719
BaseRepresentation
bin10101110100110010…
…111010101111000000
32020111011211212212010
4111310302322233000
5340443142410222
614433211132520
71456503420534
oct256462725700
966434755763
1023434341312
119a36090528
124660144140
132296065765
1411c4471bc4
1592250880c
hex574cbabc0

23434341312 has 112 divisors (see below), whose sum is σ = 63768061440. Its totient is φ = 7589716992.

The previous prime is 23434341289. The next prime is 23434341317. The reversal of 23434341312 is 21314343432.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23434341312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434341317) 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, 6299389 + ... + 6303107.

Almost surely, 223434341312 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 23434341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31884030720).

23434341312 is an abundant number, since it is smaller than the sum of its proper divisors (40333720128).

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

23434341312 is a wasteful number, since it uses less digits than its factorization.

23434341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4648 counting only the distinct ones).

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

Adding to 23434341312 its reverse (21314343432), we get a palindrome (44748684744).

The spelling of 23434341312 in words is "twenty-three billion, four hundred thirty-four million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 887 888 1184 1774 1776 2368 2661 3548 3552 3719 5322 7096 7104 7438 10644 11157 14192 14876 21288 22314 28384 29752 32819 42576 44628 56768 59504 65638 85152 89256 98457 119008 131276 137603 170304 178512 196914 238016 262552 275206 357024 393828 412809 525104 550412 714048 787656 825618 1050208 1100824 1575312 1651236 2100416 2201648 3150624 3298753 3302472 4403296 6301248 6597506 6604944 8806592 9896259 13195012 13209888 19792518 26390024 26419776 39585036 52780048 79170072 105560096 122053861 158340144 211120192 244107722 316680288 366161583 488215444 633360576 732323166 976430888 1464646332 1952861776 2929292664 3905723552 5858585328 7811447104 11717170656 23434341312