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325131072 = 263734937
BaseRepresentation
bin10011011000010…
…001101101000000
3211122210100222120
4103120101231000
51131213143242
652132404240
711025366000
oct2330215500
9748710876
10325131072
11157589872
1290a76680
1352489866
1431276000
151d8251ec
hex13611b40

325131072 has 112 divisors (see below), whose sum is σ = 1003401600. Its totient is φ = 92875776.

The previous prime is 325131067. The next prime is 325131073. The reversal of 325131072 is 270131523.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325131073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63388 + ... + 68324.

Almost surely, 2325131072 is an apocalyptic number.

325131072 is a gapful number since it is divisible by the number (32) 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 325131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501700800).

325131072 is an abundant number, since it is smaller than the sum of its proper divisors (678270528).

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

325131072 is an equidigital number, since it uses as much as digits as its factorization.

325131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 325131072 is about 18031.3912940738. The cubic root of 325131072 is about 687.6268483077.

Adding to 325131072 its reverse (270131523), we get a palindrome (595262595).

The spelling of 325131072 in words is "three hundred twenty-five million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 4937 5488 8232 9408 9874 10976 14811 16464 19748 21952 29622 32928 34559 39496 59244 65856 69118 78992 103677 118488 138236 157984 207354 236976 241913 276472 315968 414708 473952 483826 552944 725739 829416 947904 967652 1105888 1451478 1658832 1693391 1935304 2211776 2902956 3317664 3386782 3870608 5080173 5805912 6635328 6773564 7741216 10160346 11611824 13547128 15482432 20320692 23223648 27094256 40641384 46447296 54188512 81282768 108377024 162565536 325131072