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416838380 = 22572977417
BaseRepresentation
bin11000110110000…
…111001011101100
31002001100120202112
4120312013023230
51323202312010
6105210143152
713221032150
oct3066071354
91061316675
10416838380
111a4326932
12b7721ab8
136848893a
143d509060
15268dca05
hex18d872ec

416838380 has 24 divisors (see below), whose sum is σ = 1000412448. Its totient is φ = 142915968.

The previous prime is 416838329. The next prime is 416838403. The reversal of 416838380 is 83838614.

It is a happy number.

It is a super-3 number, since 3×4168383803 (a number of 27 digits) contains 333 as substring.

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, 1488569 + ... + 1488848.

It is an arithmetic number, because the mean of its divisors is an integer number (41683852).

Almost surely, 2416838380 is an apocalyptic number.

It is an amenable number.

416838380 is an abundant number, since it is smaller than the sum of its proper divisors (583574068).

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

416838380 is a wasteful number, since it uses less digits than its factorization.

416838380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977433 (or 2977431 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 416838380 is about 20416.6201904233. The cubic root of 416838380 is about 747.0033792612.

The spelling of 416838380 in words is "four hundred sixteen million, eight hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2977417 5954834 11909668 14887085 20841919 29774170 41683838 59548340 83367676 104209595 208419190 416838380