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371804416 = 2817372309
BaseRepresentation
bin10110001010010…
…100100100000000
3221220121121202221
4112022110210000
51230140220131
6100521020424
712133166614
oct2612244400
9856547687
10371804416
11180968185
12a4624714
135c04ba19
1437545344
1522994411
hex16294900

371804416 has 72 divisors (see below), whose sum is σ = 807400440. Its totient is φ = 170164224.

The previous prime is 371804339. The next prime is 371804471. The reversal of 371804416 is 614408173.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 125440000 = 15696^2 + 11200^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159870 + ... + 162178.

It is an arithmetic number, because the mean of its divisors is an integer number (11213895).

Almost surely, 2371804416 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 371804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403700220).

371804416 is an abundant number, since it is smaller than the sum of its proper divisors (435596024).

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

371804416 is a wasteful number, since it uses less digits than its factorization.

371804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 371804416 is about 19282.2305763623. The cubic root of 371804416 is about 719.0705702864.

The spelling of 371804416 in words is "three hundred seventy-one million, eight hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 544 592 629 1088 1184 1258 2176 2309 2368 2516 4352 4618 4736 5032 9236 9472 10064 18472 20128 36944 39253 40256 73888 78506 80512 85433 147776 157012 161024 170866 295552 314024 341732 591104 628048 683464 1256096 1366928 1452361 2512192 2733856 2904722 5024384 5467712 5809444 10048768 10935424 11618888 21870848 23237776 46475552 92951104 185902208 371804416