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1024342040 = 235372273049
BaseRepresentation
bin111101000011100…
…011100000011000
32122101110222010002
4331003203200120
54044212421130
6245351112132
734245522641
oct7503434030
92571428102
101024342040
1148623a377
12247072648
131342b0a67
149a0866c8
155edddb45
hex3d0e3818

1024342040 has 64 divisors (see below), whose sum is σ = 2378268000. Its totient is φ = 396776448.

The previous prime is 1024342037. The next prime is 1024342043. The reversal of 1024342040 is 402434201.

It is an interprime number because it is at equal distance from previous prime (1024342037) and next prime (1024342043).

It is a super-2 number, since 2×10243420402 = 2098553229822723200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024342043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334436 + ... + 337484.

Almost surely, 21024342040 is an apocalyptic number.

1024342040 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 1024342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189134000).

1024342040 is an abundant number, since it is smaller than the sum of its proper divisors (1353925960).

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

1024342040 is a wasteful number, since it uses less digits than its factorization.

1024342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3320 counting only the distinct ones).

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

The square root of 1024342040 is about 32005.3439287879. The cubic root of 1024342040 is about 1008.0490522657.

Adding to 1024342040 its reverse (402434201), we get a palindrome (1426776241).

The spelling of 1024342040 in words is "one billion, twenty-four million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 227 296 370 454 740 908 1135 1480 1816 2270 3049 4540 6098 8399 9080 12196 15245 16798 24392 30490 33596 41995 60980 67192 83990 112813 121960 167980 225626 335960 451252 564065 692123 902504 1128130 1384246 2256260 2768492 3460615 4512520 5536984 6921230 13842460 25608551 27684920 51217102 102434204 128042755 204868408 256085510 512171020 1024342040