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305042829 = 37134127253
BaseRepresentation
bin10010001011101…
…001010110001101
3210020222210002120
4102023221112031
51111042332304
650134043153
710362551460
oct2213512615
9706883076
10305042829
11147209213
12861a94b9
134b275220
142c7272d7
151bba80d9
hex122e958d

305042829 has 32 divisors (see below), whose sum is σ = 512811264. Its totient is φ = 156971520.

The previous prime is 305042807. The next prime is 305042833. The reversal of 305042829 is 928240503.

It is a happy number.

It is not a de Polignac number, because 305042829 - 25 = 305042797 is a prime.

It is a super-2 number, since 2×3050428292 = 186102255048646482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305042829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305042839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2434 + ... + 24819.

It is an arithmetic number, because the mean of its divisors is an integer number (16025352).

Almost surely, 2305042829 is an apocalyptic number.

305042829 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

305042829 is a deficient number, since it is larger than the sum of its proper divisors (207768435).

305042829 is a wasteful number, since it uses less digits than its factorization.

305042829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27317.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 305042829 is about 17465.4753442327. The cubic root of 305042829 is about 673.1630559580.

It can be divided in two parts, 30504 and 2829, that added together give a palindrome (33333).

The spelling of 305042829 in words is "three hundred five million, forty-two thousand, eight hundred twenty-nine".

Divisors: 1 3 7 13 21 39 41 91 123 273 287 533 861 1599 3731 11193 27253 81759 190771 354289 572313 1062867 1117373 2480023 3352119 7440069 7821611 14525849 23464833 43577547 101680943 305042829