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380219944 = 231319317607
BaseRepresentation
bin10110101010011…
…011001000101000
3222111110011201011
4112222123020220
51234314014234
6101421233304
712264546646
oct2652331050
9874404634
10380219944
11185695965
12a7402834
1360a07320
14386d6196
15235a7b64
hex16a9b228

380219944 has 64 divisors (see below), whose sum is σ = 812044800. Its totient is φ = 165452544.

The previous prime is 380219941. The next prime is 380219951. The reversal of 380219944 is 449912083.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 380219897 and 380219906.

It is not an unprimeable number, because it can be changed into a prime (380219941) 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, 626089 + ... + 626695.

It is an arithmetic number, because the mean of its divisors is an integer number (12688200).

Almost surely, 2380219944 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 380219944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406022400).

380219944 is an abundant number, since it is smaller than the sum of its proper divisors (431824856).

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

380219944 is a wasteful number, since it uses less digits than its factorization.

380219944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 380219944 is about 19499.2293181038. The cubic root of 380219944 is about 724.4553620231.

The spelling of 380219944 in words is "three hundred eighty million, two hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 317 494 607 634 988 1214 1268 1976 2428 2536 4121 4856 6023 7891 8242 11533 12046 15782 16484 23066 24092 31564 32968 46132 48184 63128 78299 92264 149929 156598 192419 299858 313196 384838 599716 626392 769676 1199432 1539352 2501447 3655961 5002894 7311922 10005788 14623844 20011576 29247688 47527493 95054986 190109972 380219944