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349704012 = 223797167257
BaseRepresentation
bin10100110110000…
…000111101001100
3220101000210201110
4110312000331030
51204011012022
654411212020
711444302140
oct2466007514
9811023643
10349704012
1116a442889
1299147010
13575b1568
1434631220
1520a7b00c
hex14d80f4c

349704012 has 96 divisors (see below), whose sum is σ = 951487488. Its totient is φ = 97910784.

The previous prime is 349703989. The next prime is 349704013. The reversal of 349704012 is 210407943.

It is a happy number.

It is a super-2 number, since 2×3497040122 = 244585792017792288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349704013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1360588 + ... + 1360844.

It is an arithmetic number, because the mean of its divisors is an integer number (9911328).

Almost surely, 2349704012 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 349704012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475743744).

349704012 is an abundant number, since it is smaller than the sum of its proper divisors (601783476).

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

349704012 is a wasteful number, since it uses less digits than its factorization.

349704012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 349704012 is about 18700.3746486534. The cubic root of 349704012 is about 704.5311585266.

The spelling of 349704012 in words is "three hundred forty-nine million, seven hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 167 194 257 291 334 388 501 514 582 668 679 771 1002 1028 1164 1169 1358 1542 1799 2004 2037 2338 2716 3084 3507 3598 4074 4676 5397 7014 7196 8148 10794 14028 16199 21588 24929 32398 42919 48597 49858 64796 74787 85838 97194 99716 113393 128757 149574 171676 174503 194388 226786 257514 299148 300433 340179 349006 453572 515028 523509 600866 680358 698012 901299 1047018 1201732 1360716 1802598 2094036 3605196 4163143 8326286 12489429 16652572 24978858 29142001 49957716 58284002 87426003 116568004 174852006 349704012