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1021234320 = 2432511811201
BaseRepresentation
bin111100110111101…
…100110010010000
32122011122002010100
4330313230302100
54042413444240
6245200332400
734210230351
oct7467546220
92564562110
101021234320
11484507507
12246014100
13133763382
14998b7d28
155e9c7e30
hex3cdecc90

1021234320 has 120 divisors (see below), whose sum is σ = 3435407352. Its totient is φ = 271872000.

The previous prime is 1021234297. The next prime is 1021234349. The reversal of 1021234320 is 234321201.

It can be written as a sum of positive squares in 4 ways, for example, as 38787984 + 982446336 = 6228^2 + 31344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1021234293 and 1021234302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849720 + ... + 850920.

Almost surely, 21021234320 is an apocalyptic number.

1021234320 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 1021234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717703676).

1021234320 is an abundant number, since it is smaller than the sum of its proper divisors (2414173032).

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

1021234320 is a wasteful number, since it uses less digits than its factorization.

1021234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2392 counting only the distinct ones).

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

The square root of 1021234320 is about 31956.7570319643. The cubic root of 1021234320 is about 1007.0285898514.

Adding to 1021234320 its reverse (234321201), we get a palindrome (1255555521).

The spelling of 1021234320 in words is "one billion, twenty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1181 1201 2362 2402 3543 3603 4724 4804 5905 6005 7086 7206 9448 9608 10629 10809 11810 12010 14172 14412 17715 18015 18896 19216 21258 21618 23620 24020 28344 28824 35430 36030 42516 43236 47240 48040 53145 54045 56688 57648 70860 72060 85032 86472 94480 96080 106290 108090 141720 144120 170064 172944 212580 216180 283440 288240 425160 432360 850320 864720 1418381 2836762 4255143 5673524 7091905 8510286 11347048 12765429 14183810 17020572 21275715 22694096 25530858 28367620 34041144 42551430 51061716 56735240 63827145 68082288 85102860 102123432 113470480 127654290 170205720 204246864 255308580 340411440 510617160 1021234320