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1024275340 = 22511311011487
BaseRepresentation
bin111101000011010…
…011001110001100
32122101100120121201
4331003103032030
54044203302330
6245345435244
734245124324
oct7503231614
92571316551
101024275340
114861a4250
1224703bb24
131342895aa
149a06a284
155edc8eca
hex3d0d338c

1024275340 has 96 divisors (see below), whose sum is σ = 2447843328. Its totient is φ = 356640000.

The previous prime is 1024275269. The next prime is 1024275367. The reversal of 1024275340 is 435724201.

1024275340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1024275299 and 1024275308.

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, 688077 + ... + 689563.

It is an arithmetic number, because the mean of its divisors is an integer number (25498368).

Almost surely, 21024275340 is an apocalyptic number.

1024275340 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 1024275340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223921664).

1024275340 is an abundant number, since it is smaller than the sum of its proper divisors (1423567988).

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

1024275340 is a wasteful number, since it uses less digits than its factorization.

1024275340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1024275340 is about 32004.3018983386. The cubic root of 1024275340 is about 1008.0271720965.

Adding to 1024275340 its reverse (435724201), we get a palindrome (1459999541).

The spelling of 1024275340 in words is "one billion, twenty-four million, two hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 101 110 124 155 202 220 310 341 404 505 620 682 1010 1111 1364 1487 1705 2020 2222 2974 3131 3410 4444 5555 5948 6262 6820 7435 11110 12524 14870 15655 16357 22220 29740 31310 32714 34441 46097 62620 65428 68882 81785 92194 137764 150187 163570 172205 184388 230485 300374 327140 344410 460970 507067 600748 688820 750935 921940 1014134 1501870 1652057 2028268 2535335 3003740 3304114 4655797 5070670 6608228 8260285 9311594 10141340 16520570 18623188 23278985 33041140 46557970 51213767 93115940 102427534 204855068 256068835 512137670 1024275340