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331209424 = 24721332497
BaseRepresentation
bin10011101111011…
…101101011010000
3212002020011220201
4103233131223100
51134242200144
652510544544
711131143100
oct2357355320
9762204821
10331209424
1115aa605a7
1292b08154
1353807410
1431db9200
151e1261d4
hex13bddad0

331209424 has 60 divisors (see below), whose sum is σ = 803935524. Its totient is φ = 131023872.

The previous prime is 331209409. The next prime is 331209449. The reversal of 331209424 is 424902133.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 172449424 = 12600^2 + 13132^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 331209392 and 331209401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6057 + ... + 26440.

Almost surely, 2331209424 is an apocalyptic number.

It is an amenable number.

331209424 is an abundant number, since it is smaller than the sum of its proper divisors (472726100).

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

331209424 is a wasteful number, since it uses less digits than its factorization.

331209424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32532 (or 32519 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 331209424 is about 18199.1599806145. The cubic root of 331209424 is about 691.8854990033.

The spelling of 331209424 in words is "three hundred thirty-one million, two hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 32497 64994 129988 227479 259976 422461 454958 519952 844922 909916 1592353 1689844 1819832 2957227 3184706 3379688 3639664 5914454 6369412 6759376 11828908 12738824 20700589 23657816 25477648 41401178 47315632 82802356 165604712 331209424