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3482374399 = 7379721429
BaseRepresentation
bin1100111110010000…
…1101000011111111
322222200200221121121
43033210031003333
524112441440044
61333315211411
7152203460020
oct31744150377
98880627547
103482374399
111527789479
128122a6b67
13436607b8a
142506d0c47
15155ac9984
hexcf90d0ff

3482374399 has 24 divisors (see below), whose sum is σ = 4132883040. Its totient is φ = 2872267776.

The previous prime is 3482374391. The next prime is 3482374421. The reversal of 3482374399 is 9934732843.

It is a happy number.

It is not a de Polignac number, because 3482374399 - 23 = 3482374391 is a prime.

It is a super-2 number, since 2×34823743992 = 24253862909621222402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482374391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436217 + ... + 2437645.

It is an arithmetic number, because the mean of its divisors is an integer number (172203460).

Almost surely, 23482374399 is an apocalyptic number.

3482374399 is a deficient number, since it is larger than the sum of its proper divisors (650508641).

3482374399 is an equidigital number, since it uses as much as digits as its factorization.

3482374399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1570 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The square root of 3482374399 is about 59011.6462996924. The cubic root of 3482374399 is about 1515.7415430383.

The spelling of 3482374399 in words is "three billion, four hundred eighty-two million, three hundred seventy-four thousand, three hundred ninety-nine".

Divisors: 1 7 37 97 259 679 1429 3589 9409 10003 25123 52873 65863 138613 348133 370111 970291 2436931 5128681 13445461 35900767 94118227 497482057 3482374399