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380918408 = 23137179653
BaseRepresentation
bin10110101101000…
…101101010001000
3222112202122211012
4112231011222020
51240003342113
6101444223052
712303516203
oct2655055210
9875678735
10380918408
11186022702
12a769aa88
1360bc0210
143883893a
1523694aa8
hex16b45a88

380918408 has 64 divisors (see below), whose sum is σ = 791078400. Its totient is φ = 170876160.

The previous prime is 380918389. The next prime is 380918429. The reversal of 380918408 is 804819083.

It is an unprimeable number.

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, 583010 + ... + 583662.

It is an arithmetic number, because the mean of its divisors is an integer number (12360600).

Almost surely, 2380918408 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 380918408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395539200).

380918408 is an abundant number, since it is smaller than the sum of its proper divisors (410159992).

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

380918408 is a wasteful number, since it uses less digits than its factorization.

380918408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 380918408 is about 19517.1311416407. The cubic root of 380918408 is about 724.8986988070.

The spelling of 380918408 in words is "three hundred eighty million, nine hundred eighteen thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 52 71 79 104 142 158 284 316 568 632 653 923 1027 1306 1846 2054 2612 3692 4108 5224 5609 7384 8216 8489 11218 16978 22436 33956 44872 46363 51587 67912 72917 92726 103174 145834 185452 206348 291668 370904 412696 583336 602719 670631 1205438 1341262 2410876 2682524 3662677 4821752 5365048 7325354 14650708 29301416 47614801 95229602 190459204 380918408