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3320165420 = 22511132414817
BaseRepresentation
bin1100010111100101…
…1011010000101100
322120101110212201122
43011321123100230
523244430243140
61305242400112
7145163640365
oct30571332054
98511425648
103320165420
111454168470
12787b00038
1340bb22b30
14236d48b6c
15146737ab5
hexc5e5b42c

3320165420 has 96 divisors (see below), whose sum is σ = 8226985536. Its totient is φ = 1109606400.

The previous prime is 3320165417. The next prime is 3320165423. The reversal of 3320165420 is 245610233.

3320165420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3320165417) and next prime (3320165423).

It is a super-2 number, since 2×33201654202 = 22046996832327552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3320165420.

It is not an unprimeable number, because it can be changed into a prime (3320165423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686852 + ... + 691668.

It is an arithmetic number, because the mean of its divisors is an integer number (85697766).

Almost surely, 23320165420 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 3320165420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113492768).

3320165420 is an abundant number, since it is smaller than the sum of its proper divisors (4906820116).

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

3320165420 is a wasteful number, since it uses less digits than its factorization.

3320165420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3320165420 is about 57620.8765986773. The cubic root of 3320165420 is about 1491.8319613476.

Adding to 3320165420 its reverse (245610233), we get a palindrome (3565775653).

The spelling of 3320165420 in words is "three billion, three hundred twenty million, one hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 241 260 286 482 572 715 964 1205 1430 2410 2651 2860 3133 4817 4820 5302 6266 9634 10604 12532 13255 15665 19268 24085 26510 31330 34463 48170 52987 53020 62621 62660 68926 96340 105974 125242 137852 172315 211948 250484 264935 313105 344630 529870 626210 688831 689260 1059740 1160897 1252420 1377662 2321794 2755324 3444155 4643588 5804485 6888310 11608970 12769867 13776620 15091661 23217940 25539734 30183322 51079468 60366644 63849335 75458305 127698670 150916610 166008271 255397340 301833220 332016542 664033084 830041355 1660082710 3320165420