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331431430 = 251129107971
BaseRepresentation
bin10011110000010…
…011111000000110
3212002122110110011
4103300103320012
51134321301210
652515420434
711133056251
oct2360237006
9762573404
10331431430
111600a2380
1292bb471a
1353884495
1432036098
151e16bd8a
hex13c13e06

331431430 has 64 divisors (see below), whose sum is σ = 680244480. Its totient is φ = 115158400.

The previous prime is 331431427. The next prime is 331431431. The reversal of 331431430 is 34134133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331431431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 340845 + ... + 341815.

It is an arithmetic number, because the mean of its divisors is an integer number (10628820).

Almost surely, 2331431430 is an apocalyptic number.

331431430 is an abundant number, since it is smaller than the sum of its proper divisors (348813050).

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

331431430 is a wasteful number, since it uses less digits than its factorization.

331431430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 331431430 is about 18205.2583063246. The cubic root of 331431430 is about 692.0400521997.

Adding to 331431430 its reverse (34134133), we get a palindrome (365565563).

The spelling of 331431430 in words is "three hundred thirty-one million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 29 55 58 107 110 145 214 290 319 535 638 971 1070 1177 1595 1942 2354 3103 3190 4855 5885 6206 9710 10681 11770 15515 21362 28159 31030 34133 53405 56318 68266 103897 106810 140795 170665 207794 281590 309749 341330 519485 619498 1038970 1142867 1548745 2285734 3013013 3097490 5714335 6026026 11428670 15065065 30130130 33143143 66286286 165715715 331431430