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353993397 = 3178398273
BaseRepresentation
bin10101000110011…
…000001010110101
3220200002201122120
4111012120022311
51211110242042
655043150153
711525615502
oct2506301265
9820081576
10353993397
1117190252a
129a675359
1358453a64
143502a4a9
1521126dec
hex151982b5

353993397 has 16 divisors (see below), whose sum is σ = 500411520. Its totient is φ = 221821952.

The previous prime is 353993383. The next prime is 353993399. The reversal of 353993397 is 793399353.

It is a cyclic number.

It is not a de Polignac number, because 353993397 - 212 = 353989301 is a prime.

It is a super-2 number, since 2×3539933972 = 250622650239199218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353993399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38653 + ... + 46925.

It is an arithmetic number, because the mean of its divisors is an integer number (31275720).

Almost surely, 2353993397 is an apocalyptic number.

It is an amenable number.

353993397 is a deficient number, since it is larger than the sum of its proper divisors (146418123).

353993397 is a wasteful number, since it uses less digits than its factorization.

353993397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132.

The product of its digits is 2066715, while the sum is 51.

The square root of 353993397 is about 18814.7122486633. The cubic root of 353993397 is about 707.3999971863.

The spelling of 353993397 in words is "three hundred fifty-three million, nine hundred ninety-three thousand, three hundred ninety-seven".

Divisors: 1 3 17 51 839 2517 8273 14263 24819 42789 140641 421923 6941047 20823141 117997799 353993397