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1020344420 = 2251743101691
BaseRepresentation
bin111100110100010…
…011100001100100
32122002221212102002
4330310103201210
54042202010140
6245125304432
734166533034
oct7464234144
92562855362
101020344420
11483a59957
12245865118
131335112c4
14997258c4
155e89e415
hex3cd13864

1020344420 has 96 divisors (see below), whose sum is σ = 2347906176. Its totient is φ = 370944000.

The previous prime is 1020344417. The next prime is 1020344431. The reversal of 1020344420 is 244430201.

It is a super-2 number, since 2×10203444202 = 2082205470850272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1020344392 and 1020344401.

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, 1476275 + ... + 1476965.

It is an arithmetic number, because the mean of its divisors is an integer number (24457356).

Almost surely, 21020344420 is an apocalyptic number.

1020344420 is a gapful number since it is divisible by the number (10) 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 1020344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173953088).

1020344420 is an abundant number, since it is smaller than the sum of its proper divisors (1327561756).

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

1020344420 is a wasteful number, since it uses less digits than its factorization.

1020344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1020344420 is about 31942.8304944944. The cubic root of 1020344420 is about 1006.7359977882.

Adding to 1020344420 its reverse (244430201), we get a palindrome (1264774621).

The spelling of 1020344420 in words is "one billion, twenty million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 101 170 172 202 215 340 404 430 505 691 731 860 1010 1382 1462 1717 2020 2764 2924 3434 3455 3655 4343 6868 6910 7310 8585 8686 11747 13820 14620 17170 17372 21715 23494 29713 34340 43430 46988 58735 59426 69791 73831 86860 117470 118852 139582 147662 148565 234940 279164 295324 297130 348955 369155 505121 594260 697910 738310 1010242 1186447 1395820 1476620 2020484 2372894 2525605 3001013 4745788 5051210 5932235 6002026 10102420 11864470 12004052 15005065 23728940 30010130 51017221 60020260 102034442 204068884 255086105 510172210 1020344420