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3422480040 = 233125723
BaseRepresentation
bin1100101111111110…
…1110011010101000
322211112000000000000
43023333232122220
524002123330130
61323335343000
7150545412630
oct31377563250
98745000000
103422480040
1114a699aa01
127b6221a60
13427097025
1424677d6c0
151506e8260
hexcbfee6a8

3422480040 has 416 divisors, whose sum is σ = 13774942080. Its totient is φ = 748268928.

The previous prime is 3422480029. The next prime is 3422480053. The reversal of 3422480040 is 400842243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3422479986 and 3422480013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 148803469 + ... + 148803491.

Almost surely, 23422480040 is an apocalyptic number.

3422480040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887471040).

3422480040 is an abundant number, since it is smaller than the sum of its proper divisors (10352462040).

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

3422480040 is an frugal number, since it uses more digits than its factorization.

3422480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3422480040 is about 58501.9661208066. The cubic root of 3422480040 is about 1507.0013498889.

The spelling of 3422480040 in words is "three billion, four hundred twenty-two million, four hundred eighty thousand, forty".