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342839616 = 2637534813
BaseRepresentation
bin10100011011110…
…101000101000000
3212220010001112120
4110123311011000
51200231331431
654004124240
711332042260
oct2433650500
9786101476
10342839616
11166584529
1296996680
1356049ca2
14337657a0
1520172196
hex146f5140

342839616 has 112 divisors (see below), whose sum is σ = 1056461184. Its totient is φ = 96086016.

The previous prime is 342839533. The next prime is 342839639. The reversal of 342839616 is 616938243.

342839616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68826 + ... + 73638.

Almost surely, 2342839616 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 342839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528230592).

342839616 is an abundant number, since it is smaller than the sum of its proper divisors (713621568).

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

342839616 is a wasteful number, since it uses less digits than its factorization.

342839616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4878 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 342839616 is about 18515.9287101674. The cubic root of 342839616 is about 699.8908782282.

The spelling of 342839616 in words is "three hundred forty-two million, eight hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 4813 5088 5936 8904 9626 10176 11872 14439 17808 19252 23744 28878 33691 35616 38504 57756 67382 71232 77008 101073 115512 134764 154016 202146 231024 255089 269528 308032 404292 462048 510178 539056 765267 808584 924096 1020356 1078112 1530534 1617168 1785623 2040712 2156224 3061068 3234336 3571246 4081424 5356869 6122136 6468672 7142492 8162848 10713738 12244272 14284984 16325696 21427476 24488544 28569968 42854952 48977088 57139936 85709904 114279872 171419808 342839616