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377874016 = 25136114891
BaseRepresentation
bin10110100001011…
…110011001100000
3222100000222200221
4112201132121200
51233213432031
6101255052424
712235606342
oct2641363140
9870028627
10377874016
11184333383
12a6671114
13603955c0
1438285292
1523292a11
hex1685e660

377874016 has 48 divisors (see below), whose sum is σ = 814354128. Its totient is φ = 171532800.

The previous prime is 377874001. The next prime is 377874053. The reversal of 377874016 is 610478773.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17931 + ... + 32821.

It is an arithmetic number, because the mean of its divisors is an integer number (16965711).

Almost surely, 2377874016 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 377874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407177064).

377874016 is an abundant number, since it is smaller than the sum of its proper divisors (436480112).

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

377874016 is a wasteful number, since it uses less digits than its factorization.

377874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The square root of 377874016 is about 19438.9818663427. The cubic root of 377874016 is about 722.9623424529.

The spelling of 377874016 in words is "three hundred seventy-seven million, eight hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 14891 25376 29782 59564 119128 193583 238256 387166 476512 774332 908351 1548664 1816702 3097328 3633404 6194656 7266808 11808563 14533616 23617126 29067232 47234252 94468504 188937008 377874016