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376440064 = 28711132113
BaseRepresentation
bin10110011100000…
…000010100000000
3222020100010200121
4112130000110000
51232332040224
6101204230024
712220454620
oct2634002400
9866303617
10376440064
11183543aa0
12a609b314
135ccb2a00
1437dd0880
15230acbe4
hex16700500

376440064 has 216 divisors, whose sum is σ = 1023406272. Its totient is φ = 134184960.

The previous prime is 376440059. The next prime is 376440101. The reversal of 376440064 is 460044673.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331272 + ... + 3331384.

It is an arithmetic number, because the mean of its divisors is an integer number (4737992).

Almost surely, 2376440064 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 376440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511703136).

376440064 is an abundant number, since it is smaller than the sum of its proper divisors (646966208).

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

376440064 is a wasteful number, since it uses less digits than its factorization.

376440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 376440064 is about 19402.0633954227. The cubic root of 376440064 is about 722.0466868212.

The spelling of 376440064 in words is "three hundred seventy-six million, four hundred forty thousand, sixty-four".