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349302672 = 24331747563
BaseRepresentation
bin10100110100011…
…110111110010000
3220100021102012000
4110310132332100
51203410141142
654354434000
711441011065
oct2464367620
9810242160
10349302672
1116a1992a4
1298b92900
13574a0994
1434568c6c
15209ec14c
hex14d1ef90

349302672 has 80 divisors (see below), whose sum is σ = 1061628480. Its totient is φ = 109582848.

The previous prime is 349302671. The next prime is 349302703. The reversal of 349302672 is 276203943.

It is a happy number.

349302672 is a `hidden beast` number, since 349 + 302 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (349302671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16438 + ... + 31125.

It is an arithmetic number, because the mean of its divisors is an integer number (13270356).

Almost surely, 2349302672 is an apocalyptic number.

It is an amenable number.

349302672 is an abundant number, since it is smaller than the sum of its proper divisors (712325808).

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

349302672 is a wasteful number, since it uses less digits than its factorization.

349302672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47597 (or 47585 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 349302672 is about 18689.6407670132. The cubic root of 349302672 is about 704.2615354896.

The spelling of 349302672 in words is "three hundred forty-nine million, three hundred two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 47563 95126 142689 190252 285378 380504 428067 570756 761008 808571 856134 1141512 1284201 1617142 1712268 2283024 2425713 2568402 3234284 3424536 4851426 5136804 6468568 6849072 7277139 9702852 10273608 12937136 14554278 19405704 20547216 21831417 29108556 38811408 43662834 58217112 87325668 116434224 174651336 349302672