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346056216 = 233111783929
BaseRepresentation
bin10100101000000…
…110011000011000
3220010011110212220
4110220012120120
51202042244331
654201104040
711401300152
oct2450063030
9803143786
10346056216
11168381180
1297a88020
13569050bc
1433d61ad2
15205aa296
hex14a06618

346056216 has 128 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 97402880.

The previous prime is 346056211. The next prime is 346056241. The reversal of 346056216 is 612650643.

346056216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346056211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372040 + ... + 372968.

It is an arithmetic number, because the mean of its divisors is an integer number (7909650).

Almost surely, 2346056216 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 346056216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

346056216 is an abundant number, since it is smaller than the sum of its proper divisors (666378984).

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

346056216 is a wasteful number, since it uses less digits than its factorization.

346056216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 346056216 is about 18602.5862718064. The cubic root of 346056216 is about 702.0729139125.

The spelling of 346056216 in words is "three hundred forty-six million, fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 83 88 102 132 136 166 187 204 249 264 332 374 408 498 561 664 748 913 929 996 1122 1411 1496 1826 1858 1992 2244 2739 2787 2822 3652 3716 4233 4488 5478 5574 5644 7304 7432 8466 10219 10956 11148 11288 15521 15793 16932 20438 21912 22296 30657 31042 31586 33864 40876 46563 47379 61314 62084 63172 77107 81752 93126 94758 122628 124168 126344 154214 173723 186252 189516 231321 245256 308428 347446 372504 379032 462642 521169 616856 694892 848177 925284 1042338 1310819 1389784 1696354 1850568 2084676 2544531 2621638 3392708 3932457 4169352 5089062 5243276 6785416 7864914 10178124 10486552 14419009 15729828 20356248 28838018 31459656 43257027 57676036 86514054 115352072 173028108 346056216