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378805344 = 25312133253
BaseRepresentation
bin10110100101000…
…001110001100000
3222101210022020120
4112211001301200
51233433232334
6101331040240
712246535521
oct2645016140
9871708216
10378805344
1118490a075
12a6a40080
1360630498
1438448848
15233c8949
hex16941c60

378805344 has 48 divisors (see below), whose sum is σ = 995489712. Its totient is φ = 126125568.

The previous prime is 378805321. The next prime is 378805387. The reversal of 378805344 is 443508873.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 378805296 and 378805305.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 114822 + ... + 118074.

It is an arithmetic number, because the mean of its divisors is an integer number (20739369).

Almost surely, 2378805344 is an apocalyptic number.

It is an amenable number.

378805344 is an abundant number, since it is smaller than the sum of its proper divisors (616684368).

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

378805344 is a wasteful number, since it uses less digits than its factorization.

378805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 378805344 is about 19462.9222882896. The cubic root of 378805344 is about 723.5558053865. Note that the first 3 decimals are identical.

The spelling of 378805344 in words is "three hundred seventy-eight million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1213 2426 3253 3639 4852 6506 7278 9704 9759 13012 14556 19408 19518 26024 29112 38816 39036 52048 58224 78072 104096 116448 156144 312288 3945889 7891778 11837667 15783556 23675334 31567112 47350668 63134224 94701336 126268448 189402672 378805344