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417034068 = 2231123137363
BaseRepresentation
bin11000110110110…
…110111101010100
31002001201112012020
4120312312331110
51323230042233
6105214253140
713222505523
oct3066667524
91061645166
10417034068
111a444a960
12b77b71b0
1368526a29
143d55a4ba
152692a9b3
hex18db6f54

417034068 has 48 divisors (see below), whose sum is σ = 1107703296. Its totient is φ = 120878560.

The previous prime is 417034061. The next prime is 417034069. The reversal of 417034068 is 860430714.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417034061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65646 + ... + 71717.

It is an arithmetic number, because the mean of its divisors is an integer number (23077152).

Almost surely, 2417034068 is an apocalyptic number.

It is an amenable number.

417034068 is an abundant number, since it is smaller than the sum of its proper divisors (690669228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417034068 is a wasteful number, since it uses less digits than its factorization.

417034068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137404 (or 137402 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 417034068 is about 20421.4119981944. The cubic root of 417034068 is about 747.1202564772.

The spelling of 417034068 in words is "four hundred seventeen million, thirty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 137363 274726 412089 549452 824178 1510993 1648356 3021986 3159349 4532979 6043972 6318698 9065958 9478047 12637396 18131916 18956094 34752839 37912188 69505678 104258517 139011356 208517034 417034068