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325943040 = 2835174993
BaseRepresentation
bin10011011011010…
…111111100000000
3211201022121210110
4103123113330000
51131420134130
652202031320
711035320153
oct2333277400
9751277713
10325943040
11157a93915
12911a8540
13526b2307
1431407c9a
151d935ab0
hex136d7f00

325943040 has 144 divisors (see below), whose sum is σ = 1102435488. Its totient is φ = 81788928.

The previous prime is 325943003. The next prime is 325943041. The reversal of 325943040 is 40349523.

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

It is a junction number, because it is equal to n+sod(n) for n = 325942989 and 325943007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325943041) 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, 62784 + ... + 67776.

It is an arithmetic number, because the mean of its divisors is an integer number (7655802).

Almost surely, 2325943040 is an apocalyptic number.

325943040 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 325943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551217744).

325943040 is an abundant number, since it is smaller than the sum of its proper divisors (776492448).

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

325943040 is a wasteful number, since it uses less digits than its factorization.

325943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 325943040 is about 18053.8926550481. The cubic root of 325943040 is about 688.1987887802.

The spelling of 325943040 in words is "three hundred twenty-five million, nine hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 4993 5440 6528 8160 9986 10880 13056 14979 16320 19972 21760 24965 29958 32640 39944 49930 59916 65280 74895 79888 84881 99860 119832 149790 159776 169762 199720 239664 254643 299580 319552 339524 399440 424405 479328 509286 599160 639104 679048 798880 848810 958656 1018572 1198320 1273215 1278208 1358096 1597760 1697620 1917312 2037144 2396640 2546430 2716192 3195520 3395240 3834624 4074288 4793280 5092860 5432384 6391040 6790480 8148576 9586560 10185720 10864768 13580960 16297152 19173120 20371440 21729536 27161920 32594304 40742880 54323840 65188608 81485760 108647680 162971520 325943040