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380465152 = 212293203
BaseRepresentation
bin10110101011010…
…111000000000000
3222111220122001221
4112223113000000
51234344341102
6101430404424
712266620564
oct2653270000
9874818057
10380465152
11185843111
12a7500714
1360a91b12
143875b6a4
1523605637
hex16ad7000

380465152 has 52 divisors (see below), whose sum is σ = 787318920. Its totient is φ = 183615488.

The previous prime is 380465147. The next prime is 380465159. The reversal of 380465152 is 251564083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380465159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117183 + ... + 120385.

Almost surely, 2380465152 is an apocalyptic number.

380465152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393659460).

380465152 is an abundant number, since it is smaller than the sum of its proper divisors (406853768).

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

380465152 is an equidigital number, since it uses as much as digits as its factorization.

380465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 380465152 is about 19505.5159378059. The cubic root of 380465152 is about 724.6110649516.

The spelling of 380465152 in words is "three hundred eighty million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3203 3712 4096 6406 7424 12812 14848 25624 29696 51248 59392 92887 102496 118784 185774 204992 371548 409984 743096 819968 1486192 1639936 2972384 3279872 5944768 6559744 11889536 13119488 23779072 47558144 95116288 190232576 380465152