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3422410400 = 25524278013
BaseRepresentation
bin1100101111111101…
…1101011010100000
322211111212110110202
43023333131122200
524002114113100
61323334044332
7150545002613
oct31377353240
98744773422
103422410400
1114a6952652
127b61a96a8
13427071416
1424676217a
151506d27d5
hexcbfdd6a0

3422410400 has 36 divisors (see below), whose sum is σ = 8354961342. Its totient is φ = 1368963840.

The previous prime is 3422410363. The next prime is 3422410417. The reversal of 3422410400 is 40142243.

It can be written as a sum of positive squares in 3 ways, for example, as 2675372176 + 747038224 = 51724^2 + 27332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2138207 + ... + 2139806.

Almost surely, 23422410400 is an apocalyptic number.

It is an amenable number.

3422410400 is an abundant number, since it is smaller than the sum of its proper divisors (4932550942).

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

3422410400 is a wasteful number, since it uses less digits than its factorization.

3422410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278033 (or 4278020 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3422410400 is about 58501.3709241074. The cubic root of 3422410400 is about 1506.9911284234.

Adding to 3422410400 its reverse (40142243), we get a palindrome (3462552643).

The spelling of 3422410400 in words is "three billion, four hundred twenty-two million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4278013 8556026 17112052 21390065 34224104 42780130 68448208 85560260 106950325 136896416 171120520 213900650 342241040 427801300 684482080 855602600 1711205200 3422410400