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414406104 = 23372466703
BaseRepresentation
bin11000101100110…
…101010111011000
31001212210000022020
4120230311113120
51322041443404
6105042054440
713161252030
oct3054652730
91055700266
10414406104
111a2a15492
12b694a420
1367b16818
143d0748c0
15265abed9
hex18b355d8

414406104 has 32 divisors (see below), whose sum is σ = 1184017920. Its totient is φ = 118401696.

The previous prime is 414406087. The next prime is 414406141. The reversal of 414406104 is 401604414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233184 + ... + 1233519.

It is an arithmetic number, because the mean of its divisors is an integer number (37000560).

Almost surely, 2414406104 is an apocalyptic number.

It is an amenable number.

414406104 is an abundant number, since it is smaller than the sum of its proper divisors (769611816).

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

414406104 is a wasteful number, since it uses less digits than its factorization.

414406104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466719 (or 2466715 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 414406104 is about 20356.9669646536. The cubic root of 414406104 is about 745.5476081353.

The spelling of 414406104 in words is "four hundred fourteen million, four hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2466703 4933406 7400109 9866812 14800218 17266921 19733624 29600436 34533842 51800763 59200872 69067684 103601526 138135368 207203052 414406104