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3213242420 = 2251747233863
BaseRepresentation
bin1011111110000110…
…0011000000110100
322021221021121221112
42333201203000310
523040042224140
61250502534152
7142425052463
oct27741430064
98257247845
103213242420
1113a9878653
12758137358
133c292719b
14226a749da
1513c166c65
hexbf863034

3213242420 has 96 divisors (see below), whose sum is σ = 7336562688. Its totient is φ = 1177505792.

The previous prime is 3213242413. The next prime is 3213242503. The reversal of 3213242420 is 242423123.

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, 3722909 + ... + 3723771.

It is an arithmetic number, because the mean of its divisors is an integer number (76422528).

Almost surely, 23213242420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668281344).

3213242420 is an abundant number, since it is smaller than the sum of its proper divisors (4123320268).

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

3213242420 is a wasteful number, since it uses less digits than its factorization.

3213242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1167 counting only the distinct ones).

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

The square root of 3213242420 is about 56685.4692139000. The cubic root of 3213242420 is about 1475.6425307505.

Adding to 3213242420 its reverse (242423123), we get a palindrome (3455665543).

The spelling of 3213242420 in words is "three billion, two hundred thirteen million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 233 235 340 466 470 799 863 932 940 1165 1598 1726 2330 3196 3452 3961 3995 4315 4660 7922 7990 8630 10951 14671 15844 15980 17260 19805 21902 29342 39610 40561 43804 54755 58684 73355 79220 81122 109510 146710 162244 186167 201079 202805 219020 293420 372334 402158 405610 689537 744668 804316 811220 930835 1005395 1379074 1861670 2010790 2758148 3418343 3447685 3723340 4021580 6836686 6895370 9450713 13673372 13790740 17091715 18901426 34183430 37802852 47253565 68366860 94507130 160662121 189014260 321324242 642648484 803310605 1606621210 3213242420