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342131304 = 23337794877
BaseRepresentation
bin10100011001001…
…000001001101000
3212211210001220210
4110121020021220
51200041200204
653541021120
711323032234
oct2431101150
9784701823
10342131304
11166140349
12966b47a0
1355b5c778
143361d5c4
1520082389
hex14648268

342131304 has 64 divisors (see below), whose sum is σ = 889747200. Its totient is φ = 109534464.

The previous prime is 342131303. The next prime is 342131311. The reversal of 342131304 is 403131243.

It is a super-3 number, since 3×3421313043 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (342131303) 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, 67714 + ... + 72590.

It is an arithmetic number, because the mean of its divisors is an integer number (13902300).

Almost surely, 2342131304 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 342131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444873600).

342131304 is an abundant number, since it is smaller than the sum of its proper divisors (547615896).

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

342131304 is a wasteful number, since it uses less digits than its factorization.

342131304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 342131304 is about 18496.7917218095. The cubic root of 342131304 is about 699.4085507491.

Adding to 342131304 its reverse (403131243), we get a palindrome (745262547).

The spelling of 342131304 in words is "three hundred forty-two million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1896 2923 4877 5846 8769 9754 11692 14631 17538 19508 23384 29262 35076 39016 58524 70152 117048 180449 360898 385283 541347 721796 770566 1082694 1155849 1443592 1541132 2165388 2311698 3082264 4330776 4623396 9246792 14255471 28510942 42766413 57021884 85532826 114043768 171065652 342131304