Search a number
-
+
3433932976032 = 25351319294099
BaseRepresentation
bin110001111110000110010…
…110101110111110100000
3110011021120200201102200000
4301332012112232332200
5422230143320213112
611145305501100000
7503044026460266
oct61760626567640
913137520642600
103433932976032
111104360708219
12475629257600
131bba842b8990
14bc2bb9ac436
155e4d019c7dc
hex31f865aefa0

3433932976032 has 432 divisors, whose sum is σ = 11510245000800. Its totient is φ = 1000973873664.

The previous prime is 3433932976003. The next prime is 3433932976073. The reversal of 3433932976032 is 2306792393343.

3433932976032 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 9 + 3 + 29 + 7 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3433932976032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36445719 + ... + 36539817.

It is an arithmetic number, because the mean of its divisors is an integer number (26644085650).

Almost surely, 23433932976032 is an apocalyptic number.

3433932976032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3433932976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755122500400).

3433932976032 is an abundant number, since it is smaller than the sum of its proper divisors (8076312024768).

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

3433932976032 is a wasteful number, since it uses less digits than its factorization.

3433932976032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94175 (or 94136 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 54.

The spelling of 3433932976032 in words is "three trillion, four hundred thirty-three billion, nine hundred thirty-two million, nine hundred seventy-six thousand, thirty-two".