Search a number
-
+
23434137342 = 23271116907747
BaseRepresentation
bin10101110100110010…
…001000111011111110
32020111011110112001200
4111310302020323332
5340443114343332
614433202520330
71456501611060
oct256462107376
966434415050
1023434137342
119a35a61260
1246600660a6
132295cc3975
1411c441b730
159224b817c
hex574c88efe

23434137342 has 48 divisors (see below), whose sum is σ = 63302608512. Its totient is φ = 6086788560.

The previous prime is 23434137341. The next prime is 23434137343. The reversal of 23434137342 is 24373143432.

23434137342 is a `hidden beast` number, since 234 + 3 + 413 + 7 + 3 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (23434137341) and next prime (23434137343).

It is a junction number, because it is equal to n+sod(n) for n = 23434137297 and 23434137306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434137341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8452488 + ... + 8455259.

It is an arithmetic number, because the mean of its divisors is an integer number (1318804344).

Almost surely, 223434137342 is an apocalyptic number.

23434137342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

23434137342 is an abundant number, since it is smaller than the sum of its proper divisors (39868471170).

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

23434137342 is a wasteful number, since it uses less digits than its factorization.

23434137342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16907773 (or 16907770 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The spelling of 23434137342 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 16907747 33815494 50723241 101446482 118354229 152169723 185985217 236708458 304339446 355062687 371970434 557955651 710125374 1065188061 1115911302 1301896519 1673866953 2130376122 2603793038 3347733906 3905689557 7811379114 11717068671 23434137342