Search a number
-
+
325435760 = 245131779233
BaseRepresentation
bin10011011001011…
…100000101110000
3211200100211221022
4103121130011300
51131302421020
652143115012
711031105206
oct2331340560
9750324838
10325435760
11157777781
1290ba2a68
1352565450
1431315076
151d885625
hex1365c170

325435760 has 160 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 111181824.

The previous prime is 325435753. The next prime is 325435771. The reversal of 325435760 is 67534523.

It is a self number, because there is not a number n which added to its sum of digits gives 325435760.

It is a congruent number.

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, 1396604 + ... + 1396836.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2325435760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

325435760 is an abundant number, since it is smaller than the sum of its proper divisors (552008080).

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

325435760 is a wasteful number, since it uses less digits than its factorization.

325435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 325435760 is about 18039.8381367461. The cubic root of 325435760 is about 687.8415783608.

The spelling of 325435760 in words is "three hundred twenty-five million, four hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 79 80 85 104 130 136 158 170 208 221 233 260 272 316 340 395 442 466 520 632 680 790 884 932 1027 1040 1105 1165 1264 1343 1360 1580 1768 1864 2054 2210 2330 2686 3029 3160 3536 3728 3961 4108 4420 4660 5135 5372 6058 6320 6715 7922 8216 8840 9320 10270 10744 12116 13430 15145 15844 16432 17459 17680 18407 18640 19805 20540 21488 24232 26860 30290 31688 34918 36814 39610 41080 48464 51493 53720 60580 63376 69836 73628 79220 82160 87295 92035 102986 107440 121160 139672 147256 158440 174590 184070 205972 239291 242320 257465 279344 294512 312919 316880 349180 368140 411944 478582 514930 625838 698360 736280 823888 957164 1029860 1196455 1251676 1396720 1472560 1564595 1914328 2059720 2392910 2503352 3129190 3828656 4067947 4119440 4785820 5006704 6258380 8135894 9571640 12516760 16271788 19143280 20339735 25033520 32543576 40679470 65087152 81358940 162717880 325435760