Search a number
-
+
325614120 = 233513474441
BaseRepresentation
bin10011011010000…
…111101000101000
3211200200220121020
4103122013220220
51131324122440
652151012440
711032450206
oct2332075050
9750626536
10325614120
11157889787
129106a120
13525c86a0
1431360076
151d8bd3d0
hex13687a28

325614120 has 128 divisors (see below), whose sum is σ = 1074608640. Its totient is φ = 78428160.

The previous prime is 325614083. The next prime is 325614127. The reversal of 325614120 is 21416523.

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

It is not an unprimeable number, because it can be changed into a prime (325614127) by changing a digit.

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, 71100 + ... + 75540.

It is an arithmetic number, because the mean of its divisors is an integer number (8395380).

Almost surely, 2325614120 is an apocalyptic number.

325614120 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 325614120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537304320).

325614120 is an abundant number, since it is smaller than the sum of its proper divisors (748994520).

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

325614120 is a wasteful number, since it uses less digits than its factorization.

325614120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 325614120 is about 18044.7809629266. The cubic root of 325614120 is about 687.9672160780.

The spelling of 325614120 in words is "three hundred twenty-five million, six hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1410 1560 1833 1880 2444 2820 3055 3666 4441 4888 5640 6110 7332 8882 9165 12220 13323 14664 17764 18330 22205 24440 26646 35528 36660 44410 53292 57733 66615 73320 88820 106584 115466 133230 173199 177640 208727 230932 266460 288665 346398 417454 461864 532920 577330 626181 692796 834908 865995 1043635 1154660 1252362 1385592 1669816 1731990 2087270 2309320 2504724 2713451 3130905 3463980 4174540 5009448 5426902 6261810 6927960 8140353 8349080 10853804 12523620 13567255 16280706 21707608 25047240 27134510 32561412 40701765 54269020 65122824 81403530 108538040 162807060 325614120