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325494960 = 24357313619
BaseRepresentation
bin10011011001101…
…010100010110000
3211200110212010220
4103121222202300
51131311314320
652144253040
711031442620
oct2331524260
9750425126
10325494960
111578081aa
1291011180
135258638b
143132c880
151d897e40
hex1366a8b0

325494960 has 160 divisors (see below), whose sum is σ = 1158735360. Its totient is φ = 74041344.

The previous prime is 325494913. The next prime is 325494977. The reversal of 325494960 is 69494523.

325494960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525531 + ... + 526149.

It is an arithmetic number, because the mean of its divisors is an integer number (7242096).

Almost surely, 2325494960 is an apocalyptic number.

325494960 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 325494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579367680).

325494960 is an abundant number, since it is smaller than the sum of its proper divisors (833240400).

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

325494960 is a wasteful number, since it uses less digits than its factorization.

325494960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 325494960 is about 18041.4788750812. The cubic root of 325494960 is about 687.8832842391.

The spelling of 325494960 in words is "three hundred twenty-five million, four hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 313 336 420 560 619 626 840 939 1238 1252 1565 1680 1857 1878 2191 2476 2504 3095 3130 3714 3756 4333 4382 4695 4952 5008 6190 6260 6573 7428 7512 8666 8764 9285 9390 9904 10955 12380 12520 12999 13146 14856 15024 17332 17528 18570 18780 21665 21910 24760 25040 25998 26292 29712 32865 34664 35056 37140 37560 43330 43820 49520 51996 52584 64995 65730 69328 74280 75120 86660 87640 103992 105168 129990 131460 148560 173320 175280 193747 207984 259980 262920 346640 387494 519960 525840 581241 774988 968735 1039920 1162482 1356229 1549976 1937470 2324964 2712458 2906205 3099952 3874940 4068687 4649928 5424916 5812410 6781145 7749880 8137374 9299856 10849832 11624820 13562290 15499760 16274748 20343435 21699664 23249640 27124580 32549496 40686870 46499280 54249160 65098992 81373740 108498320 162747480 325494960