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3220430430 = 23573312967
BaseRepresentation
bin1011111111110011…
…1101111001011110
322022102210211001010
42333330331321132
523043412233210
61251321000050
7142543131000
oct27774757136
98272724033
103220430430
111402938058
1275a623026
133c4272b49
142279c6370
1513cad6920
hexbff3de5e

3220430430 has 64 divisors (see below), whose sum is σ = 9013478400. Its totient is φ = 736096032.

The previous prime is 3220430413. The next prime is 3220430489. The reversal of 3220430430 is 340340223.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3220430397 and 3220430406.

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, 146194 + ... + 166773.

It is an arithmetic number, because the mean of its divisors is an integer number (140835600).

Almost surely, 23220430430 is an apocalyptic number.

3220430430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3220430430 is an abundant number, since it is smaller than the sum of its proper divisors (5793047970).

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

3220430430 is a wasteful number, since it uses less digits than its factorization.

3220430430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312998 (or 312984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3220430430 is about 56748.8363757355. The cubic root of 3220430430 is about 1476.7420466989.

Adding to 3220430430 its reverse (340340223), we get a palindrome (3560770653).

The spelling of 3220430430 in words is "three billion, two hundred twenty million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290 312967 625934 938901 1564835 1877802 2190769 3129670 4381538 4694505 6572307 9389010 10953845 13144614 15335383 21907690 30670766 32861535 46006149 65723070 76676915 92012298 107347681 153353830 214695362 230030745 322043043 460061490 536738405 644086086 1073476810 1610215215 3220430430