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378495616 = 2717312181
BaseRepresentation
bin10110100011110…
…110001010000000
3222101012120101011
4112203312022000
51233343324431
6101320250304
712244105522
oct2643661200
9871176334
10378495616
111847183a4
12a6910994
1360552505
14383a7a12
1523366cb1
hex168f6280

378495616 has 96 divisors (see below), whose sum is σ = 829532340. Its totient is φ = 171417600.

The previous prime is 378495587. The next prime is 378495619. The reversal of 378495616 is 616594873.

It can be written as a sum of positive squares in 2 ways, for example, as 364657216 + 13838400 = 19096^2 + 3720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378495616.

It is not an unprimeable number, because it can be changed into a prime (378495619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2091046 + ... + 2091226.

Almost surely, 2378495616 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 378495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414766170).

378495616 is an abundant number, since it is smaller than the sum of its proper divisors (451036724).

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

378495616 is a wasteful number, since it uses less digits than its factorization.

378495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 231 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 378495616 is about 19454.9637881955. The cubic root of 378495616 is about 723.3585478739.

The spelling of 378495616 in words is "three hundred seventy-eight million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 181 248 272 362 496 527 544 724 961 992 1054 1088 1448 1922 1984 2108 2176 2896 3077 3844 3968 4216 5611 5792 6154 7688 8432 11222 11584 12308 15376 16337 16864 22444 23168 24616 30752 32674 33728 44888 49232 61504 65348 67456 89776 95387 98464 123008 130696 173941 179552 190774 196928 261392 347882 359104 381548 393856 522784 695764 718208 763096 1045568 1391528 1526192 2091136 2783056 2956997 3052384 5566112 5913994 6104768 11132224 11827988 12209536 22264448 23655976 47311952 94623904 189247808 378495616