Search a number
-
+
325688000 = 2653113701
BaseRepresentation
bin10011011010011…
…001101011000000
3211200211122221112
4103122121223000
51131334004000
652152342452
711033205461
oct2332315300
9750748845
10325688000
1115792a240
12910a4a28
13526231c1
143137cd68
151d8d5235
hex13699ac0

325688000 has 112 divisors (see below), whose sum is σ = 880128288. Its totient is φ = 118400000.

The previous prime is 325687997. The next prime is 325688017. The reversal of 325688000 is 886523.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 86150 + ... + 89850.

Almost surely, 2325688000 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 325688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440064144).

325688000 is an abundant number, since it is smaller than the sum of its proper divisors (554440288).

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

325688000 is a wasteful number, since it uses less digits than its factorization.

325688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 325688000 is about 18046.8279761292. The cubic root of 325688000 is about 688.0192440985.

The spelling of 325688000 in words is "three hundred twenty-five million, six hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 3701 4000 4400 5500 7402 8000 8800 11000 14804 17600 18505 22000 29608 37010 40711 44000 59216 74020 81422 88000 92525 118432 148040 162844 185050 203555 236864 296080 325688 370100 407110 462625 592160 651376 740200 814220 925250 1017775 1184320 1302752 1480400 1628440 1850500 2035550 2605504 2960800 3256880 3701000 4071100 5088875 5921600 6513760 7402000 8142200 10177750 13027520 14804000 16284400 20355500 29608000 32568800 40711000 65137600 81422000 162844000 325688000