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349625948 = 22743535479
BaseRepresentation
bin10100110101101…
…101111001011100
3220100212211122012
4110311231321130
51204001012243
654405410352
711443525430
oct2465557134
9810784565
10349625948
1116a39a171
12991099b8
1357584b79
14346109c0
1520a62d18
hex14d6de5c

349625948 has 48 divisors (see below), whose sum is σ = 729146880. Its totient is φ = 143567424.

The previous prime is 349625933. The next prime is 349625959. The reversal of 349625948 is 849526943.

It is a junction number, because it is equal to n+sod(n) for n = 349625896 and 349625905.

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 15 ways as a sum of consecutive naturals, for example, 61073 + ... + 66551.

It is an arithmetic number, because the mean of its divisors is an integer number (15190560).

Almost surely, 2349625948 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 349625948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364573440).

349625948 is an abundant number, since it is smaller than the sum of its proper divisors (379520932).

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

349625948 is a wasteful number, since it uses less digits than its factorization.

349625948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5584 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 349625948 is about 18698.2873012477. The cubic root of 349625948 is about 704.4787307482.

The spelling of 349625948 in words is "three hundred forty-nine million, six hundred twenty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 43 53 86 106 172 212 301 371 602 742 1204 1484 2279 4558 5479 9116 10958 15953 21916 31906 38353 63812 76706 153412 235597 290387 471194 580774 942388 1161548 1649179 2032709 3298358 4065418 6596716 8130836 12486641 24973282 49946564 87406487 174812974 349625948