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349765957 = 4167712601
BaseRepresentation
bin10100110110010…
…000000101000101
3220101010221200201
4110312100011011
51204020002312
654412410501
711444650552
oct2466200505
9811127621
10349765957
1116a485382
1299176a31
1357603808
1434649a29
1520a8e557
hex14d90145

349765957 has 8 divisors (see below), whose sum is σ = 358854552. Its totient is φ = 340704000.

The previous prime is 349765931. The next prime is 349765993. The reversal of 349765957 is 759567943.

It can be written as a sum of positive squares in 4 ways, for example, as 49575681 + 300190276 = 7041^2 + 17326^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349765957 - 223 = 341377349 is a prime.

It is a super-2 number, since 2×3497659572 = 244672449352251698, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 349765898 and 349765907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349765907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21457 + ... + 34057.

It is an arithmetic number, because the mean of its divisors is an integer number (44856819).

Almost surely, 2349765957 is an apocalyptic number.

It is an amenable number.

349765957 is a deficient number, since it is larger than the sum of its proper divisors (9088595).

349765957 is a wasteful number, since it uses less digits than its factorization.

349765957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13319.

The product of its digits is 7144200, while the sum is 55.

The square root of 349765957 is about 18702.0308255547. The cubic root of 349765957 is about 704.5727552336.

The spelling of 349765957 in words is "three hundred forty-nine million, seven hundred sixty-five thousand, nine hundred fifty-seven".

Divisors: 1 41 677 12601 27757 516641 8530877 349765957