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331406430 = 23531356351
BaseRepresentation
bin10011110000001…
…101110001011110
3212002121012011020
4103300031301132
51134320001210
652515105010
711132623335
oct2360156136
9762535136
10331406430
11160085613
1292ba2166
1353875ca4
143202ad1c
151e164770
hex13c0dc5e

331406430 has 32 divisors (see below), whose sum is σ = 821035008. Its totient is φ = 85524000.

The previous prime is 331406429. The next prime is 331406431. The reversal of 331406430 is 34604133.

331406430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331406429) and next prime (331406431).

It is a self number, because there is not a number n which added to its sum of digits gives 331406430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331406431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177246 + ... + 179105.

It is an arithmetic number, because the mean of its divisors is an integer number (25657344).

Almost surely, 2331406430 is an apocalyptic number.

331406430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331406430 is an abundant number, since it is smaller than the sum of its proper divisors (489628578).

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

331406430 is a wasteful number, since it uses less digits than its factorization.

331406430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356392.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 331406430 is about 18204.5716785647. The cubic root of 331406430 is about 692.0226514799.

The spelling of 331406430 in words is "three hundred thirty-one million, four hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 356351 712702 1069053 1781755 2138106 3563510 5345265 10690530 11046881 22093762 33140643 55234405 66281286 110468810 165703215 331406430