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342745104 = 243131928909
BaseRepresentation
bin10100011011011…
…110000000010000
3212212221020220010
4110123132000100
51200220320404
654002114520
711331166602
oct2433360020
9785836803
10342745104
1116651a519
129694ba40
1356015c70
143373d172
1520154189
hex146de010

342745104 has 80 divisors (see below), whose sum is σ = 1003755200. Its totient is φ = 99906048.

The previous prime is 342745079. The next prime is 342745111. The reversal of 342745104 is 401547243.

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 15 ways as a sum of consecutive naturals, for example, 2599 + ... + 26310.

It is an arithmetic number, because the mean of its divisors is an integer number (12546940).

Almost surely, 2342745104 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 342745104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501877600).

342745104 is an abundant number, since it is smaller than the sum of its proper divisors (661010096).

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

342745104 is a wasteful number, since it uses less digits than its factorization.

342745104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28952 (or 28946 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 342745104 is about 18513.3763533290. The cubic root of 342745104 is about 699.8265583898.

The spelling of 342745104 in words is "three hundred forty-two million, seven hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 28909 57818 86727 115636 173454 231272 346908 375817 462544 549271 693816 751634 1098542 1127451 1387632 1503268 1647813 2197084 2254902 3006536 3295626 4394168 4509804 6013072 6591252 7140523 8788336 9019608 13182504 14281046 18039216 21421569 26365008 28562092 42843138 57124184 85686276 114248368 171372552 342745104