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3220439040 = 218335713
BaseRepresentation
bin1011111111110100…
…0000000000000000
322022102211020212000
42333331000000000
523043413022130
61251321104000
7142543165050
oct27775000000
98272736760
103220439040
111402943575
1275a628000
133c4276a40
142279c9560
1513cad9260
hexbff40000

3220439040 has 608 divisors, whose sum is σ = 14092834560. Its totient is φ = 679477248.

The previous prime is 3220439039. The next prime is 3220439051. The reversal of 3220439040 is 409340223.

It is a happy number.

3220439040 is a `hidden beast` number, since 3 + 220 + 439 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×32204390402 = 20742455220712243200, which contains 22 as substring.

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 = 3220438995 and 3220439013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247726074 + ... + 247726086.

Almost surely, 23220439040 is an apocalyptic number.

3220439040 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 3220439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046417280).

3220439040 is an abundant number, since it is smaller than the sum of its proper divisors (10872395520).

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

3220439040 is an frugal number, since it uses more digits than its factorization.

3220439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3220439040 is about 56748.9122362711. The cubic root of 3220439040 is about 1476.7433627484.

Adding to 3220439040 its reverse (409340223), we get a palindrome (3629779263).

The spelling of 3220439040 in words is "three billion, two hundred twenty million, four hundred thirty-nine thousand, forty".