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349414056 = 233217285469
BaseRepresentation
bin10100110100111…
…010001010101000
3220100111001222100
4110310322022220
51203422222211
654401053400
711441653605
oct2464721250
9810431870
10349414056
1116a264a52
1299027260
135750c5a4
14345976ac
1520a20156
hex14d3a2a8

349414056 has 48 divisors (see below), whose sum is σ = 1001999700. Its totient is φ = 109619712.

The previous prime is 349414049. The next prime is 349414061. The reversal of 349414056 is 650414943.

It can be written as a sum of positive squares in 2 ways, for example, as 343509156 + 5904900 = 18534^2 + 2430^2 .

It is a super-2 number, since 2×3494140562 = 244180365060742272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 349414056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141511 + ... + 143958.

Almost surely, 2349414056 is an apocalyptic number.

349414056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349414056 is an abundant number, since it is smaller than the sum of its proper divisors (652585644).

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

349414056 is a wasteful number, since it uses less digits than its factorization.

349414056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285498 (or 285491 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 349414056 is about 18692.6203620573. The cubic root of 349414056 is about 704.3363847409.

Adding to 349414056 its reverse (650414943), we get a palindrome (999828999).

The spelling of 349414056 in words is "three hundred forty-nine million, four hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 285469 570938 856407 1141876 1712814 2283752 2569221 3425628 4852973 5138442 6851256 9705946 10276884 14558919 19411892 20553768 29117838 38823784 43676757 58235676 87353514 116471352 174707028 349414056