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378459952 = 24132672089
BaseRepresentation
bin10110100011101…
…101011100110000
3222101010202110021
4112203231130300
51233341204302
6101315413224
712243566533
oct2643553460
9871122407
10378459952
111846a3622
12a68b4214
136053c200
1438398a1a
152335b437
hex168ed730

378459952 has 60 divisors (see below), whose sum is σ = 806246760. Its totient is φ = 171984384.

The previous prime is 378459941. The next prime is 378459973. The reversal of 378459952 is 259954873.

378459952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 378459952.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180124 + ... + 182212.

It is an arithmetic number, because the mean of its divisors is an integer number (13437446).

Almost surely, 2378459952 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 378459952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403123380).

378459952 is an abundant number, since it is smaller than the sum of its proper divisors (427786808).

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

378459952 is a wasteful number, since it uses less digits than its factorization.

378459952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2171 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 378459952 is about 19454.0471881817. The cubic root of 378459952 is about 723.3358275142.

It can be divided in two parts, 3784 and 59952, that added together give a palindrome (63736).

The spelling of 378459952 in words is "three hundred seventy-eight million, four hundred fifty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 169 208 268 338 536 676 871 1072 1352 1742 2089 2704 3484 4178 6968 8356 11323 13936 16712 22646 27157 33424 45292 54314 90584 108628 139963 181168 217256 279926 353041 434512 559852 706082 1119704 1412164 1819519 2239408 2824328 3639038 5648656 7278076 14556152 23653747 29112304 47307494 94614988 189229976 378459952