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380171904 = 2737294877
BaseRepresentation
bin10110101010001…
…111011010000000
3222111100201210220
4112222033122000
51234311000104
6101420223040
712264256620
oct2652173200
9874321726
10380171904
11185662862
12a739aa80
13609bb4b8
14386c2880
15235987d9
hex16a8f680

380171904 has 128 divisors (see below), whose sum is σ = 1194134400. Its totient is φ = 104853504.

The previous prime is 380171903. The next prime is 380171917. The reversal of 380171904 is 409171083.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (380171903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75514 + ... + 80390.

It is an arithmetic number, because the mean of its divisors is an integer number (9329175).

Almost surely, 2380171904 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 380171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597067200).

380171904 is an abundant number, since it is smaller than the sum of its proper divisors (813962496).

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

380171904 is a wasteful number, since it uses less digits than its factorization.

380171904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 380171904 is about 19497.9974356343. The cubic root of 380171904 is about 724.4248495947.

The spelling of 380171904 in words is "three hundred eighty million, one hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 4877 5568 6496 9744 9754 11136 12992 14631 19488 19508 25984 29262 34139 38976 39016 58524 68278 77952 78032 102417 117048 136556 141433 156064 204834 234096 273112 282866 312128 409668 424299 468192 546224 565732 624256 819336 848598 936384 990031 1092448 1131464 1638672 1697196 1872768 1980062 2184896 2262928 2970093 3277344 3394392 3960124 4369792 4525856 5940186 6554688 6788784 7920248 9051712 11880372 13109376 13577568 15840496 18103424 23760744 27155136 31680992 47521488 54310272 63361984 95042976 126723968 190085952 380171904