Search a number
-
+
326245248 = 27327231759
BaseRepresentation
bin10011011100100…
…001101110000000
3211201212222100100
4103130201232000
51132004321443
652212322400
711041016220
oct2334415600
9751788310
10326245248
1115817a97a
1291313400
1352789a34
1431486080
151d9953d3
hex13721b80

326245248 has 192 divisors, whose sum is σ = 1120204800. Its totient is φ = 89109504.

The previous prime is 326245237. The next prime is 326245259. The reversal of 326245248 is 842542623.

326245248 is a `hidden beast` number, since 3 + 2 + 624 + 5 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (326245237) and next prime (326245259).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 184593 + ... + 186351.

It is an arithmetic number, because the mean of its divisors is an integer number (5834400).

Almost surely, 2326245248 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 326245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560102400).

326245248 is an abundant number, since it is smaller than the sum of its proper divisors (793959552).

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

326245248 is a wasteful number, since it uses less digits than its factorization.

326245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 326245248 is about 18062.2603236693. The cubic root of 326245248 is about 688.4114178892.

The spelling of 326245248 in words is "three hundred twenty-six million, two hundred forty-five thousand, two hundred forty-eight".