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3387861664 = 251129331883
BaseRepresentation
bin1100100111101110…
…1010101010100000
322202002212012111221
43021323222222200
523414243033124
61320101344424
7146645230465
oct31173525240
98662765457
103387861664
1114893a5680
127a6708114
1341cb65b95
14241d2b66c
1514c65ace4
hexc9eeaaa0

3387861664 has 48 divisors (see below), whose sum is σ = 7527129120. Its totient is φ = 1486831360.

The previous prime is 3387861649. The next prime is 3387861703. The reversal of 3387861664 is 4661687833.

It is a happy number.

3387861664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33878616642 = 22955213308801697792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155734 + ... + 176149.

It is an arithmetic number, because the mean of its divisors is an integer number (156815190).

Almost surely, 23387861664 is an apocalyptic number.

It is an amenable number.

3387861664 is an abundant number, since it is smaller than the sum of its proper divisors (4139267456).

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

3387861664 is a wasteful number, since it uses less digits than its factorization.

3387861664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331933 (or 331925 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The square root of 3387861664 is about 58205.3405109875. The cubic root of 3387861664 is about 1501.9030163685.

The spelling of 3387861664 in words is "three billion, three hundred eighty-seven million, eight hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 331883 663766 1327532 2655064 3650713 5310128 7301426 9624607 10620256 14602852 19249214 29205704 38498428 58411408 76996856 105870677 116822816 153993712 211741354 307987424 423482708 846965416 1693930832 3387861664