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349173144 = 233237131071
BaseRepresentation
bin10100110011111…
…111010110011000
3220100000211111200
4110303333112120
51203342020034
654351554200
711436631335
oct2463772630
9810024450
10349173144
1116a10aa51
1298b2b960
1357456a38
143453398c
15209c3a99
hex14cff598

349173144 has 48 divisors (see below), whose sum is σ = 971243520. Its totient is φ = 113244480.

The previous prime is 349173103. The next prime is 349173157. The reversal of 349173144 is 441371943.

349173144 is a `hidden beast` number, since 349 + 173 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 349173099 and 349173108.

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 11 ways as a sum of consecutive naturals, for example, 62872 + ... + 68199.

It is an arithmetic number, because the mean of its divisors is an integer number (20234240).

Almost surely, 2349173144 is an apocalyptic number.

It is an amenable number.

349173144 is an abundant number, since it is smaller than the sum of its proper divisors (622070376).

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

349173144 is a wasteful number, since it uses less digits than its factorization.

349173144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131120 (or 131113 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 349173144 is about 18686.1752105668. The cubic root of 349173144 is about 704.1744735866.

The spelling of 349173144 in words is "three hundred forty-nine million, one hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 131071 262142 393213 524284 786426 1048568 1179639 1572852 2359278 3145704 4718556 4849627 9437112 9699254 14548881 19398508 29097762 38797016 43646643 58195524 87293286 116391048 174586572 349173144