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349431852 = 223711794787
BaseRepresentation
bin10100110100111…
…110100000101100
3220100111222101110
4110310332200230
51203423304402
654401312020
711442056520
oct2464764054
9810458343
10349431852
1116a277360
1299035610
1357517713
143459dd80
1520a2556c
hex14d3e82c

349431852 has 96 divisors (see below), whose sum is σ = 1029611520. Its totient is φ = 89593920.

The previous prime is 349431839. The next prime is 349431871. The reversal of 349431852 is 258134943.

It is a self number, because there is not a number n which added to its sum of digits gives 349431852.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70603 + ... + 75389.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2349431852 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 349431852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

349431852 is an abundant number, since it is smaller than the sum of its proper divisors (680179668).

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

349431852 is a wasteful number, since it uses less digits than its factorization.

349431852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4889 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 349431852 is about 18693.0963727254. The cubic root of 349431852 is about 704.3483420518.

The spelling of 349431852 in words is "three hundred forty-nine million, four hundred thirty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1659 1738 2212 2607 3318 3476 4787 5214 6083 6636 9574 10428 12166 14361 18249 19148 24332 28722 33509 36498 52657 57444 67018 72996 100527 105314 134036 157971 201054 210628 315942 368599 378173 402108 631884 737198 756346 1105797 1134519 1474396 1512692 2211594 2269038 2647211 4159903 4423188 4538076 5294422 7941633 8319806 10588844 12479709 15883266 16639612 24959418 29119321 31766532 49918836 58238642 87357963 116477284 174715926 349431852