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349692828 = 2232310312301
BaseRepresentation
bin10100110101111…
…110001110011100
3220101000020101020
4110311332032130
51204010132303
654411044140
711444224422
oct2465761634
9811006336
10349692828
1116a435441
1299140650
13575a9444
143462b112
1520a77a53
hex14d7e39c

349692828 has 48 divisors (see below), whose sum is σ = 859762176. Its totient is φ = 110404800.

The previous prime is 349692793. The next prime is 349692881. The reversal of 349692828 is 828296943.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22278 + ... + 34578.

It is an arithmetic number, because the mean of its divisors is an integer number (17911712).

Almost surely, 2349692828 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 349692828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429881088).

349692828 is an abundant number, since it is smaller than the sum of its proper divisors (510069348).

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

349692828 is a wasteful number, since it uses less digits than its factorization.

349692828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12432 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 349692828 is about 18700.0756148204. The cubic root of 349692828 is about 704.5236478316.

The spelling of 349692828 in words is "three hundred forty-nine million, six hundred ninety-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 2369 4738 7107 9476 12301 14214 24602 28428 36903 49204 73806 147612 282923 565846 848769 1131692 1267003 1697538 2534006 3395076 3801009 5068012 7602018 15204036 29141069 58282138 87423207 116564276 174846414 349692828