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376401408 = 2931911283
BaseRepresentation
bin10110011011110…
…110111000000000
3222020021011122220
4112123312320000
51232324321113
6101203331040
712220234125
oct2633667000
9866234586
10376401408
11183517a49
12a6080a80
135cc9b236
1437dc074c
15230a1523
hex166f6e00

376401408 has 80 divisors (see below), whose sum is σ = 1008792576. Its totient is φ = 124712960.

The previous prime is 376401401. The next prime is 376401433. The reversal of 376401408 is 804104673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376401401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292735 + ... + 294017.

Almost surely, 2376401408 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 376401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504396288).

376401408 is an abundant number, since it is smaller than the sum of its proper divisors (632391168).

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

376401408 is a wasteful number, since it uses less digits than its factorization.

376401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 376401408 is about 19401.0671871421. The cubic root of 376401408 is about 722.0219707200.

The spelling of 376401408 in words is "three hundred seventy-six million, four hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 512 573 764 768 1146 1283 1528 1536 2292 2566 3056 3849 4584 5132 6112 7698 9168 10264 12224 15396 18336 20528 24448 30792 36672 41056 48896 61584 73344 82112 97792 123168 146688 164224 245053 246336 293376 328448 490106 492672 656896 735159 980212 985344 1470318 1960424 1970688 2940636 3920848 5881272 7841696 11762544 15683392 23525088 31366784 47050176 62733568 94100352 125467136 188200704 376401408