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358004241 = 3272172532
BaseRepresentation
bin10101010101101…
…011011000010001
3220221122111111100
4111111223120101
51213122113431
655305135013
711604662100
oct2525533021
9827574440
10358004241
111740a1981
129ba8a469
135922953a
1435792037
152166a4e6
hex1556b611

358004241 has 81 divisors (see below), whose sum is σ = 651295281. Its totient is φ = 188907264.

The previous prime is 358004233. The next prime is 358004243. The reversal of 358004241 is 142400853.

The square root of 358004241 is 18921.

It is a perfect power (a square), and thus also a powerful number.

358004241 is a `hidden beast` number, since 3 + 580 + 0 + 42 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89699841 + 268304400 = 9471^2 + 16380^2 .

It is not a de Polignac number, because 358004241 - 23 = 358004233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (358004243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6754771 + ... + 6754823.

Almost surely, 2358004241 is an apocalyptic number.

358004241 is the 18921-st square number.

358004241 is the 9461-st centered octagonal number.

It is an amenable number.

358004241 is a deficient number, since it is larger than the sum of its proper divisors (293291040).

358004241 is a wasteful number, since it uses less digits than its factorization.

358004241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 358004241 is about 710.0616497416.

The spelling of 358004241 in words is "three hundred fifty-eight million, four thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 49 51 53 63 119 147 153 159 289 357 371 441 477 833 867 901 1071 1113 2023 2499 2597 2601 2703 2809 3339 6069 6307 7497 7791 8109 8427 14161 15317 18207 18921 19663 23373 25281 42483 44149 45951 47753 56763 58989 107219 127449 132447 137641 137853 143259 176967 321657 334271 397341 412923 429777 750533 811801 964971 1002813 1238769 2251599 2339897 2435403 3008439 5682607 6754797 7019691 7306209 17047821 21059073 39778249 51143463 119334747 358004241