Search a number
-
+
325107648 = 2633474003
BaseRepresentation
bin10011011000001…
…011111111000000
3211122202011212000
4103120023333000
51131211421043
652132104000
711025240465
oct2330137700
9748664760
10325107648
11157573208
1290a65000
135247bcb8
143126b66c
151d81d2d3
hex1360bfc0

325107648 has 112 divisors (see below), whose sum is σ = 976335360. Its totient is φ = 106036992.

The previous prime is 325107631. The next prime is 325107683. The reversal of 325107648 is 846701523.

325107648 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 0 + 7 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79215 + ... + 83217.

It is an arithmetic number, because the mean of its divisors is an integer number (8717280).

Almost surely, 2325107648 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 325107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488167680).

325107648 is an abundant number, since it is smaller than the sum of its proper divisors (651227712).

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

325107648 is a wasteful number, since it uses less digits than its factorization.

325107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 325107648 is about 18030.7417484695. The cubic root of 325107648 is about 687.6103346004.

The spelling of 325107648 in words is "three hundred twenty-five million, one hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4003 4512 5076 6768 8006 9024 10152 12009 13536 16012 20304 24018 27072 32024 36027 40608 48036 64048 72054 81216 96072 108081 128096 144108 188141 192144 216162 256192 288216 376282 384288 432324 564423 576432 752564 768576 864648 1128846 1152864 1505128 1693269 1729296 2257692 2305728 3010256 3386538 3458592 4515384 5079807 6020512 6773076 6917184 9030768 10159614 12041024 13546152 18061536 20319228 27092304 36123072 40638456 54184608 81276912 108369216 162553824 325107648