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380336768 = 2773113693
BaseRepresentation
bin10110101010110…
…111101010000000
3222111200002221222
4112222313222000
51234331234033
6101423534212
712265544360
oct2652675200
9874602858
10380336768
11185765709
12a745a368
1360a48556
14387269a0
15235cc598
hex16ab7a80

380336768 has 64 divisors (see below), whose sum is σ = 893944320. Its totient is φ = 157731840.

The previous prime is 380336753. The next prime is 380336771. The reversal of 380336768 is 867633083.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20930 + ... + 34622.

It is an arithmetic number, because the mean of its divisors is an integer number (13967880).

Almost surely, 2380336768 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 380336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446972160).

380336768 is an abundant number, since it is smaller than the sum of its proper divisors (513607552).

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

380336768 is a wasteful number, since it uses less digits than its factorization.

380336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 380336768 is about 19502.2246936087. The cubic root of 380336768 is about 724.5295516319.

The spelling of 380336768 in words is "three hundred eighty million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13693 13888 27386 27776 54772 95851 109544 191702 219088 383404 424483 438176 766808 848966 876352 1533616 1697932 1752704 2971381 3067232 3395864 5942762 6134464 6791728 11885524 12268928 13583456 23771048 27166912 47542096 54333824 95084192 190168384 380336768