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346106404 = 22728919841
BaseRepresentation
bin10100101000010…
…010101000100100
3220010021000201201
4110220102220210
51202100401104
654202132244
711401566400
oct2450225044
9803230651
10346106404
11168405956
1297ab1084
1356921bb7
1433d76100
15205ba0a4
hex14a12a24

346106404 has 36 divisors (see below), whose sum is σ = 712526220. Its totient is φ = 146657280.

The previous prime is 346106381. The next prime is 346106419. The reversal of 346106404 is 404601643.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24980004 + 321126400 = 4998^2 + 17920^2 .

It is a super-2 number, since 2×3461064042 = 239579285779622432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7524 + ... + 27364.

It is an arithmetic number, because the mean of its divisors is an integer number (19792395).

Almost surely, 2346106404 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 346106404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356263110).

346106404 is an abundant number, since it is smaller than the sum of its proper divisors (366419816).

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

346106404 is a wasteful number, since it uses less digits than its factorization.

346106404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19948 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 346106404 is about 18603.9351751182. The cubic root of 346106404 is about 702.1068524563.

It can be divided in two parts, 34610 and 6404, that added together give a palindrome (41014).

The spelling of 346106404 in words is "three hundred forty-six million, one hundred six thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 8722 17444 19841 39682 79364 138887 277774 555548 972209 1765849 1944418 3531698 3888836 7063396 12360943 24721886 49443772 86526601 173053202 346106404