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331507890 = 2355719489
BaseRepresentation
bin10011110000100…
…110100010110010
3212002210100100000
4103300212202302
51134331223030
652521210430
711133525210
oct2360464262
9762710300
10331507890
1116014486a
1293030a16
13538b021c
1432055cb0
151e184860
hex13c268b2

331507890 has 96 divisors (see below), whose sum is σ = 1021587840. Its totient is φ = 75769344.

The previous prime is 331507867. The next prime is 331507921. The reversal of 331507890 is 98705133.

It is a super-2 number, since 2×3315078902 = 219794962264504200, 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7266 + ... + 26754.

It is an arithmetic number, because the mean of its divisors is an integer number (10641540).

Almost surely, 2331507890 is an apocalyptic number.

331507890 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 331507890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510793920).

331507890 is an abundant number, since it is smaller than the sum of its proper divisors (690079950).

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

331507890 is a wasteful number, since it uses less digits than its factorization.

331507890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19518 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 331507890 is about 18207.3581279657. The cubic root of 331507890 is about 692.0932651312.

The spelling of 331507890 in words is "three hundred thirty-one million, five hundred seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 19489 38978 58467 97445 116934 136423 175401 194890 272846 292335 350802 409269 526203 584670 682115 818538 877005 1052406 1227807 1364230 1578609 1754010 2046345 2455614 2631015 3157218 3683421 4092690 4735827 5262030 6139035 7366842 7893045 9471654 11050263 12278070 15786090 18417105 22100526 23679135 33150789 36834210 47358270 55251315 66301578 110502630 165753945 331507890