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1023442040 = 235233373301
BaseRepresentation
bin111101000000000…
…111110001111000
32122022210020112202
4331000013301320
54044000121130
6245315525332
734235054015
oct7500076170
92568706482
101023442040
11485785175
122468b9848
1313405720a
1499cd070c
155ecb2145
hex3d007c78

1023442040 has 64 divisors (see below), whose sum is σ = 2410724160. Its totient is φ = 390297600.

The previous prime is 1023442039. The next prime is 1023442051. The reversal of 1023442040 is 402443201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308390 + ... + 311690.

It is an arithmetic number, because the mean of its divisors is an integer number (37667565).

Almost surely, 21023442040 is an apocalyptic number.

1023442040 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 1023442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205362080).

1023442040 is an abundant number, since it is smaller than the sum of its proper divisors (1387282120).

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

1023442040 is a wasteful number, since it uses less digits than its factorization.

1023442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3668 counting only the distinct ones).

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

The square root of 1023442040 is about 31991.2806870872. The cubic root of 1023442040 is about 1007.7537375020.

Adding to 1023442040 its reverse (402443201), we get a palindrome (1425885241).

The spelling of 1023442040 in words is "one billion, twenty-three million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 337 460 674 920 1348 1685 2696 3301 3370 6602 6740 7751 13204 13480 15502 16505 26408 31004 33010 38755 62008 66020 75923 77510 132040 151846 155020 303692 310040 379615 607384 759230 1112437 1518460 2224874 3036920 4449748 5562185 8899496 11124370 22248740 25586051 44497480 51172102 102344204 127930255 204688408 255860510 511721020 1023442040