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313774080 = 212355107
BaseRepresentation
bin10010101100111…
…101000000000000
3210212102101010020
4102230331000000
51120311232310
651045133440
710530015144
oct2254750000
9725371106
10313774080
11151132124
12890ba280
1350011449
142d95b224
151c830170
hex12b3d000

313774080 has 104 divisors (see below), whose sum is σ = 1004151072. Its totient is φ = 83656704.

The previous prime is 313774007. The next prime is 313774081. The reversal of 313774080 is 80477313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313774081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58887 + ... + 63993.

Almost surely, 2313774080 is an apocalyptic number.

313774080 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 313774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502075536).

313774080 is an abundant number, since it is smaller than the sum of its proper divisors (690376992).

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

313774080 is an equidigital number, since it uses as much as digits as its factorization.

313774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 313774080 is about 17713.6692980308. The cubic root of 313774080 is about 679.5253896964.

The spelling of 313774080 in words is "three hundred thirteen million, seven hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5107 5120 6144 7680 10214 10240 12288 15321 15360 20428 20480 25535 30642 30720 40856 51070 61284 61440 76605 81712 102140 122568 153210 163424 204280 245136 306420 326848 408560 490272 612840 653696 817120 980544 1225680 1307392 1634240 1961088 2451360 2614784 3268480 3922176 4902720 5229568 6536960 7844352 9805440 10459136 13073920 15688704 19610880 20918272 26147840 31377408 39221760 52295680 62754816 78443520 104591360 156887040 313774080