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342125264 = 241316310091
BaseRepresentation
bin10100011001000…
…110101011010000
3212211202202122002
4110121012223100
51200041002024
653540533132
711323005515
oct2431065320
9784682562
10342125264
11166136858
12966b11a8
1355b59ab0
143361b30c
15200806ae
hex14646ad0

342125264 has 40 divisors (see below), whose sum is σ = 718308192. Its totient is φ = 156919680.

The previous prime is 342125263. The next prime is 342125321. The reversal of 342125264 is 462521243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342125263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28859 + ... + 38949.

Almost surely, 2342125264 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 342125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359154096).

342125264 is an abundant number, since it is smaller than the sum of its proper divisors (376182928).

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

342125264 is a wasteful number, since it uses less digits than its factorization.

342125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275 (or 10269 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 342125264 is about 18496.6284495310. The cubic root of 342125264 is about 699.4044349292.

The spelling of 342125264 in words is "three hundred forty-two million, one hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 326 652 1304 2119 2608 4238 8476 10091 16952 20182 33904 40364 80728 131183 161456 262366 524732 1049464 1644833 2098928 3289666 6579332 13158664 21382829 26317328 42765658 85531316 171062632 342125264