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377048064 = 2103139883
BaseRepresentation
bin10110011110010…
…100110000000000
3222021111000201010
4112132110300000
51233011014224
6101225240520
712225566331
oct2636246000
9867430633
10377048064
11183919878
12a6333140
1360166683
143810c288
152317ce29
hex16794c00

377048064 has 88 divisors (see below), whose sum is σ = 1013346880. Its totient is φ = 124637184.

The previous prime is 377047997. The next prime is 377048107. The reversal of 377048064 is 460840773.

It is a happy number.

It is a super-2 number, since 2×3770480642 = 284330485132296192, 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, 426567 + ... + 427449.

Almost surely, 2377048064 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 377048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506673440).

377048064 is an abundant number, since it is smaller than the sum of its proper divisors (636298816).

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

377048064 is a wasteful number, since it uses less digits than its factorization.

377048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 377048064 is about 19417.7255104711. The cubic root of 377048064 is about 722.4352110420.

The spelling of 377048064 in words is "three hundred seventy-seven million, forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 883 1024 1112 1536 1668 1766 2224 2649 3072 3336 3532 4448 5298 6672 7064 8896 10596 13344 14128 17792 21192 26688 28256 35584 42384 53376 56512 71168 84768 106752 113024 122737 142336 169536 213504 226048 245474 339072 368211 427008 452096 490948 678144 736422 904192 981896 1356288 1472844 1963792 2712576 2945688 3927584 5891376 7855168 11782752 15710336 23565504 31420672 47131008 62841344 94262016 125682688 188524032 377048064