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3421321020 = 22325137120593
BaseRepresentation
bin1100101111101101…
…0011011100111100
322211102211010010100
43023323103130330
524001324233040
61323254441100
7150532514565
oct31373233474
98742733110
103421321020
1114a6279137
127b5963190
13426a7c610
1424655b16c
15150569b30
hexcbed373c

3421321020 has 144 divisors (see below), whose sum is σ = 11334278592. Its totient is φ = 830269440.

The previous prime is 3421320977. The next prime is 3421321021. The reversal of 3421321020 is 201231243.

3421321020 is a `hidden beast` number, since 342 + 1 + 321 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3421320984 and 3421321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421321021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155844 + ... + 176436.

It is an arithmetic number, because the mean of its divisors is an integer number (78710268).

Almost surely, 23421321020 is an apocalyptic number.

3421321020 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 3421321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667139296).

3421321020 is an abundant number, since it is smaller than the sum of its proper divisors (7912957572).

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

3421321020 is a wasteful number, since it uses less digits than its factorization.

3421321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20692 (or 20687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3421321020 is about 58492.0594610927. The cubic root of 3421321020 is about 1506.8312157671.

Adding to 3421321020 its reverse (201231243), we get a palindrome (3622552263).

The spelling of 3421321020 in words is "three billion, four hundred twenty-one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 923 1065 1170 1278 1420 1846 2130 2340 2556 2769 3195 3692 4260 4615 5538 6390 8307 9230 11076 12780 13845 16614 18460 20593 27690 33228 41186 41535 55380 61779 82372 83070 102965 123558 166140 185337 205930 247116 267709 308895 370674 411860 535418 617790 741348 803127 926685 1070836 1235580 1338545 1462103 1606254 1853370 2409381 2677090 2924206 3212508 3706740 4015635 4386309 4818762 5354180 5848412 7310515 8031270 8772618 9637524 12046905 13158927 14621030 16062540 17545236 19007339 21931545 24093810 26317854 29242060 38014678 43863090 48187620 52635708 57022017 65794635 76029356 87726180 95036695 114044034 131589270 171066051 190073390 228088068 263178540 285110085 342132102 380146780 570220170 684264204 855330255 1140440340 1710660510 3421321020