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3842318304 = 2532111212853
BaseRepresentation
bin1110010100000101…
…0001111111100000
3100220202222222211100
43211001101333200
530332113141204
61433134114400
7164134111116
oct34501217740
910822888740
103842318304
1116a1985680
128b294ba00
13493063236
14286429ab6
151774c9a39
hexe5051fe0

3842318304 has 72 divisors (see below), whose sum is σ = 11919929112. Its totient is φ = 1164337920.

The previous prime is 3842318261. The next prime is 3842318327. The reversal of 3842318304 is 4038132483.

It is a happy number.

3842318304 is a `hidden beast` number, since 38 + 4 + 2 + 318 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603259 + ... + 609594.

It is an arithmetic number, because the mean of its divisors is an integer number (165554571).

Almost surely, 23842318304 is an apocalyptic number.

It is an amenable number.

3842318304 is an abundant number, since it is smaller than the sum of its proper divisors (8077610808).

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

3842318304 is a wasteful number, since it uses less digits than its factorization.

3842318304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212880 (or 1212869 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3842318304 is about 61986.4364518561. The cubic root of 3842318304 is about 1566.2621268663.

The spelling of 3842318304 in words is "three billion, eight hundred forty-two million, three hundred eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1212853 2425706 3638559 4851412 7277118 9702824 10915677 13341383 14554236 19405648 21831354 26682766 29108472 38811296 40024149 43662708 53365532 58216944 80048298 87325416 106731064 116433888 120072447 160096596 174650832 213462128 240144894 320193192 349301664 426924256 480289788 640386384 960579576 1280772768 1921159152 3842318304