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331740040 = 235172321211
BaseRepresentation
bin10011110001011…
…111001110001000
3212010020010210011
4103301133032020
51134411140130
652530201304
711135513062
oct2361371610
9763203704
10331740040
11160293225
1293123234
1353961aa8
14320b6732
151e1cd52a
hex13c5f388

331740040 has 64 divisors (see below), whose sum is σ = 824722560. Its totient is φ = 119454720.

The previous prime is 331740037. The next prime is 331740119. The reversal of 331740040 is 40047133.

331740040 = 1852 + 1862 + ... + 10002.

It is a happy number.

It is a super-2 number, since 2×3317400402 = 220102908278403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331739993 and 331740020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5035 + ... + 26245.

It is an arithmetic number, because the mean of its divisors is an integer number (12886290).

Almost surely, 2331740040 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 331740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412361280).

331740040 is an abundant number, since it is smaller than the sum of its proper divisors (492982520).

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

331740040 is a wasteful number, since it uses less digits than its factorization.

331740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21258 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 331740040 is about 18213.7321820653. The cubic root of 331740040 is about 692.2547816100.

Adding to 331740040 its reverse (40047133), we get a palindrome (371787173).

The spelling of 331740040 in words is "three hundred thirty-one million, seven hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 21211 42422 84844 106055 169688 212110 360587 424220 487853 721174 848440 975706 1442348 1802935 1951412 2439265 2884696 3605870 3902824 4878530 7211740 8293501 9757060 14423480 16587002 19514120 33174004 41467505 66348008 82935010 165870020 331740040