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342652416 = 293415441
BaseRepresentation
bin10100011011000…
…111011000000000
3212212202112202020
4110123013120000
51200204334131
654000121440
711330332431
oct2433073000
9785675666
10342652416
11166466917
1296906280
1355cb2a12
1433717488
1520136996
hex146c7600

342652416 has 80 divisors (see below), whose sum is σ = 935283888. Its totient is φ = 111411200.

The previous prime is 342652397. The next prime is 342652421. The reversal of 342652416 is 614256243.

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 7 ways as a sum of consecutive naturals, for example, 60256 + ... + 65696.

Almost surely, 2342652416 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 342652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467641944).

342652416 is an abundant number, since it is smaller than the sum of its proper divisors (592631472).

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

342652416 is an equidigital number, since it uses as much as digits as its factorization.

342652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5487 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 342652416 is about 18510.8729129666. The cubic root of 342652416 is about 699.7634683837.

The spelling of 342652416 in words is "three hundred forty-two million, six hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2624 3936 5248 5441 7872 10496 10882 15744 16323 20992 21764 31488 32646 43528 62976 65292 87056 130584 174112 223081 261168 348224 446162 522336 669243 696448 892324 1044672 1338486 1392896 1784648 2089344 2676972 2785792 3569296 4178688 5353944 7138592 8357376 10707888 14277184 21415776 28554368 42831552 57108736 85663104 114217472 171326208 342652416