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346142144 = 2629259109
BaseRepresentation
bin10100101000011…
…011010111000000
3220010022211202102
4110220123113000
51202103022034
654203005532
711402105525
oct2450332700
9803284672
10346142144
1116842a797
1297b098a8
135693524a
1433d8514c
15205c597e
hex14a1b5c0

346142144 has 84 divisors (see below), whose sum is σ = 730072200. Its totient is φ = 162763776.

The previous prime is 346142143. The next prime is 346142177. The reversal of 346142144 is 441241643.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346142143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3175562 + ... + 3175670.

Almost surely, 2346142144 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 346142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365036100).

346142144 is an abundant number, since it is smaller than the sum of its proper divisors (383930056).

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

346142144 is a wasteful number, since it uses less digits than its factorization.

346142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 346142144 is about 18604.8956997883. The cubic root of 346142144 is about 702.1310188542.

Adding to 346142144 its reverse (441241643), we get a palindrome (787383787).

The spelling of 346142144 in words is "three hundred forty-six million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 59 64 109 116 118 218 232 236 436 464 472 841 872 928 944 1682 1711 1744 1856 1888 3161 3364 3422 3488 3776 6322 6431 6728 6844 6976 12644 12862 13456 13688 25288 25724 26912 27376 49619 50576 51448 53824 54752 91669 99238 101152 102896 109504 183338 186499 198476 202304 205792 366676 372998 396952 411584 733352 745996 793904 1466704 1491992 1587808 2933408 2983984 3175616 5408471 5866816 5967968 10816942 11935936 21633884 43267768 86535536 173071072 346142144