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320494080 = 2935291439
BaseRepresentation
bin10011000110100…
…101101000000000
3211100001210020010
4103012211220000
51124021302310
651445144520
710641104034
oct2306455000
9740053203
10320494080
11154a01a45
128b3bb140
135152508a
14307ca1c4
151d20b320
hex131a5a00

320494080 has 160 divisors (see below), whose sum is σ = 1060646400. Its totient is φ = 82460672.

The previous prime is 320494067. The next prime is 320494087. The reversal of 320494080 is 80494023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (320494087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222001 + ... + 223439.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2320494080 is an apocalyptic number.

320494080 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 320494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

320494080 is an abundant number, since it is smaller than the sum of its proper divisors (740152320).

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

320494080 is a wasteful number, since it uses less digits than its factorization.

320494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 320494080 is about 17902.3484492957. The cubic root of 320494080 is about 684.3422246976.

The spelling of 320494080 in words is "three hundred twenty million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1439 1536 1740 1856 1920 2320 2560 2784 2878 3480 3712 3840 4317 4640 5568 5756 6960 7195 7424 7680 8634 9280 11136 11512 13920 14390 14848 17268 18560 21585 22272 23024 27840 28780 34536 37120 41731 43170 44544 46048 55680 57560 69072 74240 83462 86340 92096 111360 115120 125193 138144 166924 172680 184192 208655 222720 230240 250386 276288 333848 345360 368384 417310 460480 500772 552576 625965 667696 690720 736768 834620 920960 1001544 1105152 1251930 1335392 1381440 1669240 1841920 2003088 2210304 2503860 2670784 2762880 3338480 3683840 4006176 5007720 5341568 5525760 6676960 8012352 10015440 10683136 11051520 13353920 16024704 20030880 21366272 26707840 32049408 40061760 53415680 64098816 80123520 106831360 160247040 320494080