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327429120 = 2103521317
BaseRepresentation
bin10011100001000…
…010110000000000
3211211010010022110
4103201002300000
51132310212440
652253535320
711054046564
oct2341026000
9754103273
10327429120
11158909387
12917a4540
1352ab2855
14316b36a4
151db2b080
hex13842c00

327429120 has 88 divisors (see below), whose sum is σ = 1047310704. Its totient is φ = 87310336.

The previous prime is 327429079. The next prime is 327429143. The reversal of 327429120 is 21924723.

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

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, 4702 + ... + 26018.

It is an arithmetic number, because the mean of its divisors is an integer number (11901258).

Almost surely, 2327429120 is an apocalyptic number.

327429120 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 327429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523655352).

327429120 is an abundant number, since it is smaller than the sum of its proper divisors (719881584).

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

327429120 is a wasteful number, since it uses less digits than its factorization.

327429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21345 (or 21327 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 327429120 is about 18095.0026250343. The cubic root of 327429120 is about 689.2431103887.

The spelling of 327429120 in words is "three hundred twenty-seven million, four hundred twenty-nine thousand, one hundred twenty".

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 2560 3072 3840 5120 7680 15360 21317 42634 63951 85268 106585 127902 170536 213170 255804 319755 341072 426340 511608 639510 682144 852680 1023216 1279020 1364288 1705360 2046432 2558040 2728576 3410720 4092864 5116080 5457152 6821440 8185728 10232160 10914304 13642880 16371456 20464320 21828608 27285760 32742912 40928640 54571520 65485824 81857280 109143040 163714560 327429120