Search a number
-
+
331431320 = 235111759751
BaseRepresentation
bin10011110000010…
…011110110011000
3212002122110022002
4103300103312120
51134321300240
652515420132
711133056033
oct2360236630
9762573262
10331431320
111600a2290
1292bb4648
135388440c
143203601a
151e16bd15
hex13c13d98

331431320 has 128 divisors (see below), whose sum is σ = 877132800. Its totient is φ = 111360000.

The previous prime is 331431299. The next prime is 331431341. The reversal of 331431320 is 23134133.

It is an interprime number because it is at equal distance from previous prime (331431299) and next prime (331431341).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331431292 and 331431301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440945 + ... + 441695.

It is an arithmetic number, because the mean of its divisors is an integer number (6852600).

Almost surely, 2331431320 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 331431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438566400).

331431320 is an abundant number, since it is smaller than the sum of its proper divisors (545701480).

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

331431320 is a wasteful number, since it uses less digits than its factorization.

331431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 331431320 is about 18205.2552852192. The cubic root of 331431320 is about 692.0399756384.

Adding to 331431320 its reverse (23134133), we get a palindrome (354565453).

The spelling of 331431320 in words is "three hundred thirty-one million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 59 68 85 88 110 118 136 170 187 220 236 295 340 374 440 472 590 649 680 748 751 935 1003 1180 1298 1496 1502 1870 2006 2360 2596 3004 3245 3740 3755 4012 5015 5192 6008 6490 7480 7510 8024 8261 10030 11033 12767 12980 15020 16522 20060 22066 25534 25960 30040 33044 40120 41305 44132 44309 51068 55165 63835 66088 82610 88264 88618 102136 110330 127670 140437 165220 177236 220660 221545 255340 280874 330440 354472 441320 443090 487399 510680 561748 702185 753253 886180 974798 1123496 1404370 1506506 1772360 1949596 2436995 2808740 3013012 3766265 3899192 4873990 5617480 6026024 7532530 8285783 9747980 15065060 16571566 19495960 30130120 33143132 41428915 66286264 82857830 165715660 331431320