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307320 = 233513197
BaseRepresentation
bin1001011000001111000
3120121120020
41023001320
534313240
610330440
72416656
oct1130170
9517506
10307320
1119a992
12129a20
13a9b60
147ddd6
15610d0
hex4b078

307320 has 64 divisors (see below), whose sum is σ = 997920. Its totient is φ = 75264.

The previous prime is 307301. The next prime is 307337. The reversal of 307320 is 23703.

307320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 307320.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462 + ... + 1658.

2307320 is an apocalyptic number.

307320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

307320 is an abundant number, since it is smaller than the sum of its proper divisors (690600).

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

307320 is a wasteful number, since it uses less digits than its factorization.

307320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 307320 is about 554.3645010280. The cubic root of 307320 is about 67.4833978373.

The spelling of 307320 in words is "three hundred seven thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 197 260 312 390 394 520 591 780 788 985 1182 1560 1576 1970 2364 2561 2955 3940 4728 5122 5910 7683 7880 10244 11820 12805 15366 20488 23640 25610 30732 38415 51220 61464 76830 102440 153660 307320