Search a number
-
+
34131442332 = 22313523418339
BaseRepresentation
bin11111110010011001…
…000111101010011100
310021002200022220210210
4133302121013222130
51024400122123312
623402455132420
72315544321141
oct376231075234
9107080286723
1034131442332
1113525344889
126746674110
1332ac2b8930
14191b0163c8
15d4b6b4e3c
hex7f2647a9c

34131442332 has 48 divisors (see below), whose sum is σ = 85930382720. Its totient is φ = 10481876928.

The previous prime is 34131442327. The next prime is 34131442337. The reversal of 34131442332 is 23324413143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34131442327) and next prime (34131442337).

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 34131442332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131442337) 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, 127582 + ... + 290757.

Almost surely, 234131442332 is an apocalyptic number.

It is an amenable number.

34131442332 is an abundant number, since it is smaller than the sum of its proper divisors (51798940388).

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

34131442332 is a wasteful number, since it uses less digits than its factorization.

34131442332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418882 (or 418880 counting only the distinct ones).

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

Adding to 34131442332 its reverse (23324413143), we get a palindrome (57455855475).

The spelling of 34131442332 in words is "thirty-four billion, one hundred thirty-one million, four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 523 1046 1569 2092 3138 6276 6799 13598 20397 27196 40794 81588 418339 836678 1255017 1673356 2510034 5020068 5438407 10876814 16315221 21753628 32630442 65260884 218791297 437582594 656373891 875165188 1312747782 2625495564 2844286861 5688573722 8532860583 11377147444 17065721166 34131442332