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331997580 = 2232513713463
BaseRepresentation
bin10011110010011…
…110000110001100
3212010201020001200
4103302132012030
51134442410310
652535505500
711140634655
oct2362360614
9763636050
10331997580
11160449772
1293228290
1353a22095
143214252c
151e22e9c0
hex13c9e18c

331997580 has 72 divisors (see below), whose sum is σ = 1014485472. Its totient is φ = 87879936.

The previous prime is 331997551. The next prime is 331997639. The reversal of 331997580 is 85799133.

It is a happy number.

It is a super-3 number, since 3×3319975803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17929 + ... + 31391.

It is an arithmetic number, because the mean of its divisors is an integer number (14090076).

Almost surely, 2331997580 is an apocalyptic number.

331997580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331997580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507242736).

331997580 is an abundant number, since it is smaller than the sum of its proper divisors (682487892).

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

331997580 is a wasteful number, since it uses less digits than its factorization.

331997580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13615 (or 13610 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 331997580 is about 18220.8007507903. The cubic root of 331997580 is about 692.4338748349.

The spelling of 331997580 in words is "three hundred thirty-one million, nine hundred ninety-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 13463 24660 26926 40389 53852 67315 80778 121167 134630 161556 201945 242334 269260 403890 484668 605835 807780 1211670 1844431 2423340 3688862 5533293 7377724 9222155 11066586 16599879 18444310 22133172 27666465 33199758 36888620 55332930 66399516 82999395 110665860 165998790 331997580