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351416741 = 13317972
BaseRepresentation
bin10100111100100…
…011000110100101
3220111020211010212
4110330203012211
51204430313431
654512025205
711464664414
oct2474430645
9814224125
10351416741
11170402665
1299832205
1357a61000
143495947b
1520cb872b
hex14f231a5

351416741 has 24 divisors (see below), whose sum is σ = 407279880. Its totient is φ = 302155776.

The previous prime is 351416729. The next prime is 351416743. The reversal of 351416741 is 147614153.

It can be written as a sum of positive squares in 12 ways, for example, as 321484900 + 29931841 = 17930^2 + 5471^2 .

It is not a de Polignac number, because 351416741 - 210 = 351415717 is a prime.

It is a super-2 number, since 2×3514167412 = 246987451710122162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351416698 and 351416707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351416743) 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, 3622805 + ... + 3622901.

It is an arithmetic number, because the mean of its divisors is an integer number (16969995).

Almost surely, 2351416741 is an apocalyptic number.

It is an amenable number.

351416741 is a deficient number, since it is larger than the sum of its proper divisors (55863139).

351416741 is an frugal number, since it uses more digits than its factorization.

351416741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 127 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 351416741 is about 18746.1126903686. The cubic root of 351416741 is about 705.6794689986.

The spelling of 351416741 in words is "three hundred fifty-one million, four hundred sixteen thousand, seven hundred forty-one".

Divisors: 1 13 17 97 169 221 1261 1649 2197 2873 9409 16393 21437 37349 122317 159953 213109 278681 1590121 2079389 3622853 20671573 27032057 351416741