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342004728 = 233137115439
BaseRepresentation
bin10100011000101…
…001001111111000
3212211112122021210
4110120221033320
51200023122403
653534203120
711321664222
oct2430511770
9784478253
10342004728
1116606423a
12966534a0
1355b16c80
14335c9412
1520059b03
hex146293f8

342004728 has 64 divisors (see below), whose sum is σ = 933811200. Its totient is φ = 103743360.

The previous prime is 342004721. The next prime is 342004753. The reversal of 342004728 is 827400243.

It is a junction number, because it is equal to n+sod(n) for n = 342004695 and 342004704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342004721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14433 + ... + 29871.

It is an arithmetic number, because the mean of its divisors is an integer number (14590800).

Almost surely, 2342004728 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 342004728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466905600).

342004728 is an abundant number, since it is smaller than the sum of its proper divisors (591806472).

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

342004728 is a wasteful number, since it uses less digits than its factorization.

342004728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 342004728 is about 18493.3698389450. The cubic root of 342004728 is about 699.3222882964.

The spelling of 342004728 in words is "three hundred forty-two million, four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1704 1846 2769 3692 5538 7384 11076 15439 22152 30878 46317 61756 92634 123512 185268 200707 370536 401414 602121 802828 1096169 1204242 1605656 2192338 2408484 3288507 4384676 4816968 6577014 8769352 13154028 14250197 26308056 28500394 42750591 57000788 85501182 114001576 171002364 342004728