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377051136 = 2113711797
BaseRepresentation
bin10110011110010…
…101100000000000
3222021111011220220
4112132111200000
51233011114021
6101225303040
712225611310
oct2636254000
9867434826
10377051136
11183921110
12a6334a80
1360167ba7
143810d440
152317dcc6
hex16795800

377051136 has 192 divisors, whose sum is σ = 1254839040. Its totient is φ = 97812480.

The previous prime is 377051119. The next prime is 377051141. The reversal of 377051136 is 631150773.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 377051097 and 377051106.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 472690 + ... + 473486.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2377051136 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 377051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

377051136 is an abundant number, since it is smaller than the sum of its proper divisors (877787904).

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

377051136 is a wasteful number, since it uses less digits than its factorization.

377051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 377051136 is about 19417.8046132924. The cubic root of 377051136 is about 722.4371730509.

The spelling of 377051136 in words is "three hundred seventy-seven million, fifty-one thousand, one hundred thirty-six".