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380379318 = 231117347977
BaseRepresentation
bin10110101011000…
…010000010110110
3222111202021022220
4112223002002312
51234334114233
6101424503210
712266112414
oct2653020266
9874667286
10380379318
11185794680
12a747ab06
1360a61a27
14387382b4
15235d9eb3
hex16ac20b6

380379318 has 64 divisors (see below), whose sum is σ = 882171648. Its totient is φ = 108062720.

The previous prime is 380379317. The next prime is 380379343. The reversal of 380379318 is 813973083.

It is a self number, because there is not a number n which added to its sum of digits gives 380379318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380379317) 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 31 ways as a sum of consecutive naturals, for example, 388846 + ... + 389822.

It is an arithmetic number, because the mean of its divisors is an integer number (13783932).

Almost surely, 2380379318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380379318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441085824).

380379318 is an abundant number, since it is smaller than the sum of its proper divisors (501792330).

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

380379318 is a wasteful number, since it uses less digits than its factorization.

380379318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 380379318 is about 19503.3155642829. The cubic root of 380379318 is about 724.5565694272.

The spelling of 380379318 in words is "three hundred eighty million, three hundred seventy-nine thousand, three hundred eighteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 347 374 561 694 977 1041 1122 1954 2082 2931 3817 5862 5899 7634 10747 11451 11798 16609 17697 21494 22902 32241 33218 35394 49827 64482 64889 99654 129778 182699 194667 339019 365398 389334 548097 678038 1017057 1096194 2034114 3729209 5763323 7458418 11187627 11526646 17289969 22375254 34579938 63396553 126793106 190189659 380379318