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331013430 = 2325112571301
BaseRepresentation
bin10011101110101…
…101110100110110
3212001212020001200
4103232231310312
51134214412210
652502433330
711126365506
oct2356556466
9761766050
10331013430
1115a937320
1292a32846
1353769147
1431d67a06
151e0d80c0
hex13badd36

331013430 has 96 divisors (see below), whose sum is σ = 943252128. Its totient is φ = 79872000.

The previous prime is 331013411. The next prime is 331013471. The reversal of 331013430 is 34310133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253780 + ... + 255080.

It is an arithmetic number, because the mean of its divisors is an integer number (9825543).

Almost surely, 2331013430 is an apocalyptic number.

331013430 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 331013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471626064).

331013430 is an abundant number, since it is smaller than the sum of its proper divisors (612238698).

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

331013430 is a wasteful number, since it uses less digits than its factorization.

331013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331013430 is about 18193.7744846967. The cubic root of 331013430 is about 691.7489970866.

Adding to 331013430 its reverse (34310133), we get a palindrome (365323563).

The spelling of 331013430 in words is "three hundred thirty-one million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 257 330 495 514 771 990 1285 1301 1542 2313 2570 2602 2827 3855 3903 4626 5654 6505 7710 7806 8481 11565 11709 13010 14135 14311 16962 19515 23130 23418 25443 28270 28622 39030 42405 42933 50886 58545 71555 84810 85866 117090 127215 128799 143110 214665 254430 257598 334357 429330 643995 668714 1003071 1287990 1671785 2006142 3009213 3343570 3677927 5015355 6018426 7355854 10030710 11033781 15046065 18389635 22067562 30092130 33101343 36779270 55168905 66202686 110337810 165506715 331013430