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349708700 = 2252111718701
BaseRepresentation
bin10100110110000…
…010000110011100
3220101001001011002
4110312002012130
51204011134300
654411245432
711444321615
oct2466020634
9811031132
10349708700
1116a446360
1299149878
13575b3733
1434632c0c
1520a7c5d5
hex14d8219c

349708700 has 72 divisors (see below), whose sum is σ = 876600144. Its totient is φ = 119680000.

The previous prime is 349708693. The next prime is 349708703. The reversal of 349708700 is 7807943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349708703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9350 + ... + 28050.

It is an arithmetic number, because the mean of its divisors is an integer number (12175002).

Almost surely, 2349708700 is an apocalyptic number.

It is a pronic number, being equal to 18700×18701.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349708700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438300072).

349708700 is an abundant number, since it is smaller than the sum of its proper divisors (526891444).

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

349708700 is a wasteful number, since it uses less digits than its factorization.

349708700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18743 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 349708700 is about 18700.4999933157. The cubic root of 349708700 is about 704.5343067388.

The spelling of 349708700 in words is "three hundred forty-nine million, seven hundred eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 18701 37402 74804 93505 187010 205711 317917 374020 411422 467525 635834 822844 935050 1028555 1271668 1589585 1870100 2057110 3179170 3497087 4114220 5142775 6358340 6994174 7947925 10285550 13988348 15895850 17485435 20571100 31791700 34970870 69941740 87427175 174854350 349708700