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326122830 = 232511229947
BaseRepresentation
bin10011011100000…
…011110101001110
3211201122202102100
4103130003311032
51131441412310
652205535530
711036666265
oct2334036516
9751582370
10326122830
111580a6a00
12912745a6
13527460b7
14314535dc
151d96dec0
hex13703d4e

326122830 has 72 divisors (see below), whose sum is σ = 932041656. Its totient is φ = 79057440.

The previous prime is 326122807. The next prime is 326122831. The reversal of 326122830 is 38221623.

It is a super-2 number, since 2×3261228302 = 212712200494417800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 326122794 and 326122803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326122831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4084 + ... + 25863.

It is an arithmetic number, because the mean of its divisors is an integer number (12945023).

Almost surely, 2326122830 is an apocalyptic number.

326122830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 326122830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466020828).

326122830 is an abundant number, since it is smaller than the sum of its proper divisors (605918826).

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

326122830 is a wasteful number, since it uses less digits than its factorization.

326122830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29982 (or 29968 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 326122830 is about 18058.8712271836. The cubic root of 326122830 is about 688.3253022115.

The spelling of 326122830 in words is "three hundred twenty-six million, one hundred twenty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 29947 59894 89841 149735 179682 269523 299470 329417 449205 539046 658834 898410 988251 1347615 1647085 1976502 2695230 2964753 3294170 3623587 4941255 5929506 7247174 9882510 10870761 14823765 18117935 21741522 29647530 32612283 36235870 54353805 65224566 108707610 163061415 326122830