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331434516 = 223717317487
BaseRepresentation
bin10011110000010…
…100101000010100
3212002122121200110
4103300110220110
51134321401031
652515443020
711133101250
oct2360245024
9762577613
10331434516
111600a4726
1292bb6470
13538859ca
1432037260
151e16cc46
hex13c14a14

331434516 has 96 divisors (see below), whose sum is σ = 966131712. Its totient is φ = 86238720.

The previous prime is 331434503. The next prime is 331434541. The reversal of 331434516 is 615434133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40525 + ... + 48011.

It is an arithmetic number, because the mean of its divisors is an integer number (10063872).

Almost surely, 2331434516 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 331434516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483065856).

331434516 is an abundant number, since it is smaller than the sum of its proper divisors (634697196).

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

331434516 is a wasteful number, since it uses less digits than its factorization.

331434516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549 (or 7547 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 331434516 is about 18205.3430618596. The cubic root of 331434516 is about 692.0422000839.

Adding to 331434516 its reverse (615434133), we get a palindrome (946868649).

The spelling of 331434516 in words is "three hundred thirty-one million, four hundred thirty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1302 1428 1581 2108 2604 3162 3689 6324 7378 7487 11067 14756 14974 22134 22461 29948 44268 44922 52409 89844 104818 127279 157227 209636 232097 254558 314454 381837 464194 509116 628908 696291 763674 890953 928388 1392582 1527348 1624679 1781906 2672859 2785164 3249358 3563812 3945649 4874037 5345718 6498716 7891298 9748074 10691436 11836947 15782596 19496148 23673894 27619543 47347788 55239086 82858629 110478172 165717258 331434516