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3221324040 = 2335112938329
BaseRepresentation
bin1100000000000001…
…1000000100001000
322022111111012211210
43000000120010020
523044124332130
61251352053120
7142553542164
oct30000300410
98274435753
103221324040
111403398480
1275a9941a0
133c44c67cc
14227b79ca4
1513cc115b0
hexc0018108

3221324040 has 128 divisors (see below), whose sum is σ = 10579766400. Its totient is φ = 778168320.

The previous prime is 3221324017. The next prime is 3221324053. The reversal of 3221324040 is 404231223.

It is a junction number, because it is equal to n+sod(n) for n = 3221323998 and 3221324016.

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, 382596 + ... + 390924.

It is an arithmetic number, because the mean of its divisors is an integer number (82654425).

Almost surely, 23221324040 is an apocalyptic number.

3221324040 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 3221324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289883200).

3221324040 is an abundant number, since it is smaller than the sum of its proper divisors (7358442360).

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

3221324040 is a wasteful number, since it uses less digits than its factorization.

3221324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8647 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3221324040 is about 56756.7092069299. The cubic root of 3221324040 is about 1476.8786236203.

Adding to 3221324040 its reverse (404231223), we get a palindrome (3625555263).

The spelling of 3221324040 in words is "three billion, two hundred twenty-one million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 293 330 440 586 660 879 1172 1320 1465 1758 2344 2930 3223 3516 4395 5860 6446 7032 8329 8790 9669 11720 12892 16115 16658 17580 19338 24987 25784 32230 33316 35160 38676 41645 48345 49974 64460 66632 77352 83290 91619 96690 99948 124935 128920 166580 183238 193380 199896 249870 274857 333160 366476 386760 458095 499740 549714 732952 916190 999480 1099428 1374285 1832380 2198856 2440397 2748570 3664760 4880794 5497140 7321191 9761588 10994280 12201985 14642382 19523176 24403970 26844367 29284764 36605955 48807940 53688734 58569528 73211910 80533101 97615880 107377468 134221835 146423820 161066202 214754936 268443670 292847640 322132404 402665505 536887340 644264808 805331010 1073774680 1610662020 3221324040