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349995672 = 233213675581
BaseRepresentation
bin10100110111001…
…000001010011000
3220101120121210200
4110313020022120
51204044330142
654421342200
711446625355
oct2467101230
9811517720
10349995672
1116a621a24
1299267960
1357684240
14346a962c
1520ad764c
hex14dc8298

349995672 has 96 divisors (see below), whose sum is σ = 1036242480. Its totient is φ = 106064640.

The previous prime is 349995647. The next prime is 349995733. The reversal of 349995672 is 276599943.

349995672 is a `hidden beast` number, since 3 + 499 + 95 + 67 + 2 = 666.

349995672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59922 + ... + 65502.

Almost surely, 2349995672 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 349995672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518121240).

349995672 is an abundant number, since it is smaller than the sum of its proper divisors (686246808).

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

349995672 is a wasteful number, since it uses less digits than its factorization.

349995672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5666 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 349995672 is about 18708.1712628466. The cubic root of 349995672 is about 704.7269683651.

The spelling of 349995672 in words is "three hundred forty-nine million, nine hundred ninety-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1206 1608 1742 2412 2613 3484 4824 5226 5581 6968 7839 10452 11162 15678 16743 20904 22324 31356 33486 44648 50229 62712 66972 72553 100458 133944 145106 200916 217659 290212 373927 401832 435318 580424 652977 747854 870636 1121781 1305954 1495708 1741272 2243562 2611908 2991416 3365343 4487124 4861051 5223816 6730686 8974248 9722102 13461372 14583153 19444204 26922744 29166306 38888408 43749459 58332612 87498918 116665224 174997836 349995672