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3372644864 = 29109223271
BaseRepresentation
bin1100100100000110…
…0111101000000000
322201001020002222202
43021001213220000
523401344113424
61314355252332
7146402002601
oct31101475000
98631202882
103372644864
111480852006
127a15aa0a8
13419968964
1423dcc9da8
1514b1522ae
hexc9067a00

3372644864 has 80 divisors (see below), whose sum is σ = 6856227840. Its totient is φ = 1657221120.

The previous prime is 3372644851. The next prime is 3372644879. The reversal of 3372644864 is 4684462733.

It is a super-2 number, since 2×33726448642 = 22749466757331156992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12445049 + ... + 12445319.

It is an arithmetic number, because the mean of its divisors is an integer number (85702848).

Almost surely, 23372644864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3372644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428113920).

3372644864 is an abundant number, since it is smaller than the sum of its proper divisors (3483582976).

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

3372644864 is a wasteful number, since it uses less digits than its factorization.

3372644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 47.

The square root of 3372644864 is about 58074.4768723748. The cubic root of 3372644864 is about 1499.6510097731.

The spelling of 3372644864 in words is "three billion, three hundred seventy-two million, six hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 223 256 271 436 446 512 542 872 892 1084 1744 1784 2168 3488 3568 4336 6976 7136 8672 13952 14272 17344 24307 27904 28544 29539 34688 48614 55808 57088 59078 60433 69376 97228 114176 118156 120866 138752 194456 236312 241732 388912 472624 483464 777824 945248 966928 1555648 1890496 1933856 3111296 3780992 3867712 6222592 6587197 7561984 7735424 12445184 13174394 15123968 15470848 26348788 30941696 52697576 105395152 210790304 421580608 843161216 1686322432 3372644864