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332726420 = 225131379341
BaseRepresentation
bin10011110101010…
…000000010010100
3212012002020211202
4103311100002110
51140134221140
653003252032
711150061605
oct2365200224
9765066752
10332726420
111608a7314
129351a018
1353c18a50
1432291dac
151e325915
hex13d50094

332726420 has 48 divisors (see below), whose sum is σ = 758047248. Its totient is φ = 121943040.

The previous prime is 332726413. The next prime is 332726447. The reversal of 332726420 is 24627233.

It can be written as a sum of positive squares in 8 ways, for example, as 34058896 + 298667524 = 5836^2 + 17282^2 .

It is a super-2 number, since 2×3327264202 = 221413741132032800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30950 + ... + 40290.

It is an arithmetic number, because the mean of its divisors is an integer number (15792651).

Almost surely, 2332726420 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 332726420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379023624).

332726420 is an abundant number, since it is smaller than the sum of its proper divisors (425320828).

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

332726420 is a wasteful number, since it uses less digits than its factorization.

332726420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 332726420 is about 18240.7900048216. The cubic root of 332726420 is about 692.9402084944.

The spelling of 332726420 in words is "three hundred thirty-two million, seven hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2740 3562 7124 8905 9341 17810 18682 35620 37364 46705 93410 121433 186820 242866 485732 607165 1214330 1279717 2428660 2559434 5118868 6398585 12797170 16636321 25594340 33272642 66545284 83181605 166363210 332726420