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342585243 = 327112133457
BaseRepresentation
bin10100011010110…
…110111110011011
3212212122010121100
4110122312332123
51200200211433
653554442443
711326632540
oct2432667633
9785563540
10342585243
11166420400
1296893423
1355c8b280
14336dabc7
1520121b13
hex146b6f9b

342585243 has 72 divisors (see below), whose sum is σ = 669634784. Its totient is φ = 164229120.

The previous prime is 342585223. The next prime is 342585263.

342585243 is a `hidden beast` number, since 34 + 2 + 585 + 2 + 43 = 666.

342585243 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (342585223) and next prime (342585263).

It is not a de Polignac number, because 342585243 - 28 = 342584987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342585198 and 342585207.

It is not an unprimeable number, because it can be changed into a prime (342585203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97371 + ... + 100827.

Almost surely, 2342585243 is an apocalyptic number.

342585243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342585243 is a deficient number, since it is larger than the sum of its proper divisors (327049541).

342585243 is a wasteful number, since it uses less digits than its factorization.

342585243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3491 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 342585243 is about 18509.0584039275. The cubic root of 342585243 is about 699.7177385798.

It can be divided in two parts, 342 and 585243, that added together give a palindrome (585585).

The spelling of 342585243 in words is "three hundred forty-two million, five hundred eighty-five thousand, two hundred forty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1573 2541 3003 3457 4719 7623 9009 10371 11011 14157 24199 31113 33033 38027 44941 72597 99099 114081 134823 217791 266189 314587 342243 404469 418297 494351 798567 943761 1254891 1483053 2395701 2831283 2928079 3460457 3764673 4449159 5437861 8784237 10381371 16313583 26352711 31144113 38065027 48940749 114195081 342585243