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1020403344 = 243731272293
BaseRepresentation
bin111100110100100…
…001111010010000
32122010001212020110
4330310201322100
54042210401334
6245130441320
734200166602
oct7464417220
92563055213
101020403344
11483a9a154
12245893240
1313353207c
149973d172
155e8b1ae9
hex3cd21e90

1020403344 has 80 divisors (see below), whose sum is σ = 2694367232. Its totient is φ = 332688384.

The previous prime is 1020403343. The next prime is 1020403357. The reversal of 1020403344 is 4433040201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020403344.

It is not an unprimeable number, because it can be changed into a prime (1020403343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443862 + ... + 446154.

Almost surely, 21020403344 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 1020403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347183616).

1020403344 is an abundant number, since it is smaller than the sum of its proper divisors (1673963888).

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

1020403344 is a wasteful number, since it uses less digits than its factorization.

1020403344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2498 counting only the distinct ones).

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

The square root of 1020403344 is about 31943.7528164741. The cubic root of 1020403344 is about 1006.7553767903.

Adding to 1020403344 its reverse (4433040201), we get a palindrome (5453443545).

The spelling of 1020403344 in words is "one billion, twenty million, four hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 127 146 219 254 292 381 438 508 584 762 876 1016 1168 1524 1752 2032 2293 3048 3504 4586 6096 6879 9172 9271 13758 18344 18542 27516 27813 36688 37084 55032 55626 74168 110064 111252 148336 167389 222504 291211 334778 445008 502167 582422 669556 873633 1004334 1164844 1339112 1747266 2008668 2329688 2678224 3494532 4017336 4659376 6989064 8034672 13978128 21258403 42516806 63775209 85033612 127550418 170067224 255100836 340134448 510201672 1020403344