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342184432 = 24172383659
BaseRepresentation
bin10100011001010…
…101000111110000
3212211212202210111
4110121111013300
51200044400212
653542111104
711323343152
oct2431250760
9784782714
10342184432
11166177257
129671b494
1355b7a9c5
1433634ad2
1520092ea7
hex146551f0

342184432 has 80 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 151940096.

The previous prime is 342184391. The next prime is 342184459. The reversal of 342184432 is 234481243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 342184394 and 342184403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 518919 + ... + 519577.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2342184432 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 342184432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

342184432 is an abundant number, since it is smaller than the sum of its proper divisors (400268048).

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

342184432 is a wasteful number, since it uses less digits than its factorization.

342184432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 342184432 is about 18498.2278070090. The cubic root of 342184432 is about 699.4447515234. Note that the first 3 decimals are identical.

The spelling of 342184432 in words is "three hundred forty-two million, one hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 83 92 136 166 184 272 332 368 391 659 664 782 1318 1328 1411 1564 1909 2636 2822 3128 3818 5272 5644 6256 7636 10544 11203 11288 15157 15272 22406 22576 30314 30544 32453 44812 54697 60628 64906 89624 109394 121256 129812 179248 218788 242512 257669 259624 437576 515338 519248 875152 929849 1030676 1258031 1859698 2061352 2516062 3719396 4122704 5032124 7438792 10064248 14877584 20128496 21386527 42773054 85546108 171092216 342184432