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3406420400 = 24528516051
BaseRepresentation
bin1100101100001001…
…1101100110110000
322210101210002022112
43023002131212300
523434020423100
61322003224452
7150262044545
oct31302354660
98711702275
103406420400
111498921079
127b0978128
13423963296
1424459cbcc
1514e0c4b35
hexcb09d9b0

3406420400 has 30 divisors (see below), whose sum is σ = 8183925972. Its totient is φ = 1362568000.

The previous prime is 3406420393. The next prime is 3406420411. The reversal of 3406420400 is 40246043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4257626 + ... + 4258425.

Almost surely, 23406420400 is an apocalyptic number.

It is an amenable number.

3406420400 is an abundant number, since it is smaller than the sum of its proper divisors (4777505572).

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

3406420400 is a wasteful number, since it uses less digits than its factorization.

3406420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516069 (or 8516058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3406420400 is about 58364.5474581959. The cubic root of 3406420400 is about 1504.6405030904.

Adding to 3406420400 its reverse (40246043), we get a palindrome (3446666443).

The spelling of 3406420400 in words is "three billion, four hundred six million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 8516051 17032102 34064204 42580255 68128408 85160510 136256816 170321020 212901275 340642040 425802550 681284080 851605100 1703210200 3406420400