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12304080 = 2432523743
BaseRepresentation
bin101110111011…
…111011010000
3212011010000200
4232323323100
511122212310
61115415200
7206403645
oct56737320
925133020
1012304080
116a44268
124154500
13271a529
1418c3dcc
1511309c0
hexbbbed0

12304080 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3134208.

The previous prime is 12304079. The next prime is 12304099. The reversal of 12304080 is 8040321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16189 + ... + 16931.

Almost surely, 212304080 is an apocalyptic number.

12304080 is a gapful number since it is divisible by the number (10) 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 12304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

12304080 is an abundant number, since it is smaller than the sum of its proper divisors (30871728).

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

12304080 is a wasteful number, since it uses less digits than its factorization.

12304080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12304080 is about 3507.7172063894. The cubic root of 12304080 is about 230.8605443760.

The spelling of 12304080 in words is "twelve million, three hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 743 828 920 1035 1104 1380 1486 1656 1840 2070 2229 2760 2972 3312 3715 4140 4458 5520 5944 6687 7430 8280 8916 11145 11888 13374 14860 16560 17089 17832 22290 26748 29720 33435 34178 35664 44580 51267 53496 59440 66870 68356 85445 89160 102534 106992 133740 136712 153801 170890 178320 205068 256335 267480 273424 307602 341780 410136 512670 534960 615204 683560 769005 820272 1025340 1230408 1367120 1538010 2050680 2460816 3076020 4101360 6152040 12304080