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376136064 = 2732794133
BaseRepresentation
bin10110011010110…
…110000110000000
3222012202200200100
4112122312012000
51232242323224
6101153522400
712215050413
oct2632660600
9865680610
10376136064
11183356657
12a5b73400
135cc07525
1437d51b7a
152304cac9
hex166b6180

376136064 has 96 divisors (see below), whose sum is σ = 1096336800. Its totient is φ = 123761664.

The previous prime is 376136063. The next prime is 376136083. The reversal of 376136064 is 460631673.

It is a happy number.

376136064 is a `hidden beast` number, since 37 + 6 + 13 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376136063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88942 + ... + 93074.

It is an arithmetic number, because the mean of its divisors is an integer number (11420175).

Almost surely, 2376136064 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 376136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548168400).

376136064 is an abundant number, since it is smaller than the sum of its proper divisors (720200736).

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

376136064 is a wasteful number, since it uses less digits than its factorization.

376136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 376136064 is about 19394.2275948283. The cubic root of 376136064 is about 721.8522678174.

The spelling of 376136064 in words is "three hundred seventy-six million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 4133 5056 5688 7584 8266 10112 11376 12399 15168 16532 22752 24798 30336 33064 37197 45504 49596 66128 74394 91008 99192 132256 148788 198384 264512 297576 326507 396768 529024 595152 653014 793536 979521 1190304 1306028 1587072 1959042 2380608 2612056 2938563 3918084 4761216 5224112 5877126 7836168 10448224 11754252 15672336 20896448 23508504 31344672 41792896 47017008 62689344 94034016 125378688 188068032 376136064