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34070640336 = 2433157502339
BaseRepresentation
bin11111101110110001…
…001011011011010000
310020221102220212011000
4133232301023123100
51024234040442321
623352444022000
72314205443635
oct375661133320
9106842825130
1034070640336
11134a3a963a7
12672a231900
13329c81a915
141912d0a18c
15d461a4826
hex7eec4b6d0

34070640336 has 80 divisors (see below), whose sum is σ = 98418452800. Its totient is φ = 11284520832.

The previous prime is 34070640323. The next prime is 34070640341. The reversal of 34070640336 is 63304607043.

34070640336 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 0 + 640 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34070640336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183346 + ... + 318993.

It is an arithmetic number, because the mean of its divisors is an integer number (1230230660).

Almost surely, 234070640336 is an apocalyptic number.

34070640336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34070640336 is an abundant number, since it is smaller than the sum of its proper divisors (64347812464).

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

34070640336 is a wasteful number, since it uses less digits than its factorization.

34070640336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502513 (or 502501 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 34070640336 in words is "thirty-four billion, seventy million, six hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 16956 22608 33912 67824 502339 1004678 1507017 2009356 3014034 4018712 4521051 6028068 8037424 9042102 12056136 13563153 18084204 24112272 27126306 36168408 54252612 72336816 78867223 108505224 157734446 217010448 236601669 315468892 473203338 630937784 709805007 946406676 1261875568 1419610014 1892813352 2129415021 2839220028 3785626704 4258830042 5678440056 8517660084 11356880112 17035320168 34070640336