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307344 = 24319337
BaseRepresentation
bin1001011000010010000
3120121121010
41023002100
534313334
610330520
72420022
oct1130220
9517533
10307344
1119aa04
12129a40
13a9b7b
1480012
15610e9
hex4b090

307344 has 40 divisors (see below), whose sum is σ = 838240. Its totient is φ = 96768.

The previous prime is 307339. The next prime is 307361. The reversal of 307344 is 443703.

It is a self number, because there is not a number n which added to its sum of digits gives 307344.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307344.

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, 744 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (20956).

2307344 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 307344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419120).

307344 is an abundant number, since it is smaller than the sum of its proper divisors (530896).

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

307344 is a wasteful number, since it uses less digits than its factorization.

307344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 307344 is about 554.3861470131. The cubic root of 307344 is about 67.4851544856.

The spelling of 307344 in words is "three hundred seven thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 337 456 674 912 1011 1348 2022 2696 4044 5392 6403 8088 12806 16176 19209 25612 38418 51224 76836 102448 153672 307344