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378804496 = 24722916661
BaseRepresentation
bin10110100101000…
…001100100010000
3222101210021002011
4112211001210100
51233433220441
6101331032304
712246533200
oct2645014420
9871707064
10378804496
11184909474
12a6a3b694
136062cc95
1438448400
15233c8581
hex16941910

378804496 has 60 divisors (see below), whose sum is σ = 883252620. Its totient is φ = 156737280.

The previous prime is 378804487. The next prime is 378804527. The reversal of 378804496 is 694408873.

378804496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 192099600 + 186704896 = 13860^2 + 13664^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 14406 + ... + 31066.

It is an arithmetic number, because the mean of its divisors is an integer number (14720877).

Almost surely, 2378804496 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 378804496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441626310).

378804496 is an abundant number, since it is smaller than the sum of its proper divisors (504448124).

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

378804496 is a wasteful number, since it uses less digits than its factorization.

378804496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16712 (or 16699 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 378804496 is about 19462.9005032652. The cubic root of 378804496 is about 723.5552654647. Note that the first 3 decimals are identical.

The spelling of 378804496 in words is "three hundred seventy-eight million, eight hundred four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 5684 11368 16661 22736 33322 66644 116627 133288 233254 266576 466508 483169 816389 933016 966338 1632778 1866032 1932676 3265556 3382183 3865352 6531112 6764366 7730704 13062224 13528732 23675281 27057464 47350562 54114928 94701124 189402248 378804496