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376140672 = 273629139
BaseRepresentation
bin10110011010110…
…111001110000000
3222012202221000000
4112122313032000
51232243000142
6101154000000
712215100015
oct2632671600
9865687000
10376140672
1118335a066
12a5b76000
135cc0965b
1437d5370c
152304e14c
hex166b7380

376140672 has 224 divisors, whose sum is σ = 1170603000. Its totient is φ = 120185856.

The previous prime is 376140659. The next prime is 376140697. The reversal of 376140672 is 276041673.

376140672 is a `hidden beast` number, since 37 + 614 + 0 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×3761406723 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2705979 + ... + 2706117.

Almost surely, 2376140672 is an apocalyptic number.

376140672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585301500).

376140672 is an abundant number, since it is smaller than the sum of its proper divisors (794462328).

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

376140672 is an equidigital number, since it uses as much as digits as its factorization.

376140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 376140672 is about 19394.3463926991. The cubic root of 376140672 is about 721.8552155819.

The spelling of 376140672 in words is "three hundred seventy-six million, one hundred forty thousand, six hundred seventy-two".