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326134016 = 281343253
BaseRepresentation
bin10011011100000…
…110100100000000
3211201200022202122
4103130012210000
51131442242031
652210103412
711040044015
oct2334064400
9751608678
10326134016
1115810434a
129127ab68
135274b210
143145770c
151d97247b
hex13706900

326134016 has 108 divisors (see below), whose sum is σ = 731296188. Its totient is φ = 144248832.

The previous prime is 326134013. The next prime is 326134057. The reversal of 326134016 is 610431623.

It can be written as a sum of positive squares in 2 ways, for example, as 136796416 + 189337600 = 11696^2 + 13760^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326134013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6153446 + ... + 6153498.

It is an arithmetic number, because the mean of its divisors is an integer number (6771261).

Almost surely, 2326134016 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 326134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365648094).

326134016 is an abundant number, since it is smaller than the sum of its proper divisors (405162172).

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

326134016 is an equidigital number, since it uses as much as digits as its factorization.

326134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 326134016 is about 18059.1809338076. The cubic root of 326134016 is about 688.3331719649. Note that the first 3 decimals are identical.

Adding to 326134016 its reverse (610431623), we get a palindrome (936565639).

The spelling of 326134016 in words is "three hundred twenty-six million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 53 64 86 104 106 128 172 208 212 256 344 416 424 559 688 689 832 848 1118 1376 1378 1664 1696 1849 2236 2279 2752 2756 3328 3392 3698 4472 4558 5504 5512 6784 7396 8944 9116 11008 11024 13568 14792 17888 18232 22048 24037 29584 29627 35776 36464 44096 48074 59168 59254 71552 72928 88192 96148 97997 118336 118508 143104 145856 176384 192296 195994 236672 237016 291712 384592 391988 473344 474032 583424 769184 783976 948064 1273961 1538368 1567952 1896128 2547922 3076736 3135904 3792256 5095844 6153472 6271808 7584512 10191688 12543616 20383376 25087232 40766752 81533504 163067008 326134016