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376940928 = 27372132367
BaseRepresentation
bin10110011101111…
…010100110000000
3222021021120202010
4112131322212000
51232444102203
6101223052520
712224642100
oct2635724600
9867246663
10376940928
11183856331
12a62a1140
1360129990
14380c1200
152315b303
hex1677a980

376940928 has 384 divisors, whose sum is σ = 1328382720. Its totient is φ = 93671424.

The previous prime is 376940897. The next prime is 376940939. The reversal of 376940928 is 829049673.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×3769409284 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5625951 + ... + 5626017.

It is an arithmetic number, because the mean of its divisors is an integer number (3459330).

Almost surely, 2376940928 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 376940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664191360).

376940928 is an abundant number, since it is smaller than the sum of its proper divisors (951441792).

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

376940928 is a wasteful number, since it uses less digits than its factorization.

376940928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 376940928 is about 19414.9665979625. The cubic root of 376940928 is about 722.3667793148.

The spelling of 376940928 in words is "three hundred seventy-six million, nine hundred forty thousand, nine hundred twenty-eight".