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349887312 = 24322429773
BaseRepresentation
bin10100110110101…
…101101101010000
3220101101010011100
4110312231231100
51204032343222
654415144400
711445664425
oct2466555520
9811333140
10349887312
1116a558575
1299215100
1357646b18
143467bd4c
1520ab54ac
hex14dadb50

349887312 has 30 divisors (see below), whose sum is σ = 979198922. Its totient is φ = 116629056.

The previous prime is 349887311. The next prime is 349887341. The reversal of 349887312 is 213788943.

It can be written as a sum of positive squares in only one way, i.e., 271458576 + 78428736 = 16476^2 + 8856^2 .

It is a super-2 number, since 2×3498873122 = 244842262197170688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349887311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1214743 + ... + 1215030.

Almost surely, 2349887312 is an apocalyptic number.

It is an amenable number.

349887312 is an abundant number, since it is smaller than the sum of its proper divisors (629311610).

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

349887312 is a wasteful number, since it uses less digits than its factorization.

349887312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429787 (or 2429778 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 349887312 is about 18705.2749779307. The cubic root of 349887312 is about 704.6542321356.

The spelling of 349887312 in words is "three hundred forty-nine million, eight hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2429773 4859546 7289319 9719092 14578638 19438184 21867957 29157276 38876368 43735914 58314552 87471828 116629104 174943656 349887312