Search a number
-
+
349319376 = 24327346547
BaseRepresentation
bin10100110100100…
…011000011010000
3220100022021002200
4110310203003100
51203411210001
654355043200
711441110560
oct2464430320
9810267080
10349319376
1116a1aa8aa
1298ba0500
13574a8473
1434570da0
1520a02086
hex14d230d0

349319376 has 60 divisors (see below), whose sum is σ = 1117270752. Its totient is φ = 99805248.

The previous prime is 349319329. The next prime is 349319387. The reversal of 349319376 is 673913943.

It is a happy number.

349319376 is a `hidden beast` number, since 3 + 493 + 1 + 93 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172266 + ... + 174281.

Almost surely, 2349319376 is an apocalyptic number.

349319376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349319376 is an abundant number, since it is smaller than the sum of its proper divisors (767951376).

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

349319376 is a wasteful number, since it uses less digits than its factorization.

349319376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346568 (or 346559 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 349319376 is about 18690.0876402440. The cubic root of 349319376 is about 704.2727614722.

The spelling of 349319376 in words is "three hundred forty-nine million, three hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 346547 693094 1039641 1386188 2079282 2425829 2772376 3118923 4158564 4851658 5544752 6237846 7277487 8317128 9703316 12475692 14554974 16634256 19406632 21832461 24951384 29109948 38813264 43664922 49902768 58219896 87329844 116439792 174659688 349319376