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1042310320 = 245231095197
BaseRepresentation
bin111110001000000…
…110010010110000
32200122021211221221
4332020012102300
54113312412240
6251232154424
734554330412
oct7610062260
92618254857
101042310320
114953a2197
12251098a14
13137c3248c
149c6029b2
156178ca4a
hex3e2064b0

1042310320 has 80 divisors (see below), whose sum is σ = 2552425920. Its totient is φ = 395062272.

The previous prime is 1042310263. The next prime is 1042310351. The reversal of 1042310320 is 230132401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1042310294 and 1042310303.

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, 197962 + ... + 203158.

It is an arithmetic number, because the mean of its divisors is an integer number (31905324).

Almost surely, 21042310320 is an apocalyptic number.

1042310320 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 1042310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276212960).

1042310320 is an abundant number, since it is smaller than the sum of its proper divisors (1510115600).

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

1042310320 is a wasteful number, since it uses less digits than its factorization.

1042310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1042310320 is about 32284.8311130785. The cubic root of 1042310320 is about 1013.9090805172.

Adding to 1042310320 its reverse (230132401), we get a palindrome (1272442721).

The spelling of 1042310320 in words is "one billion, forty-two million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 109 115 184 218 230 368 436 460 545 872 920 1090 1744 1840 2180 2507 4360 5014 5197 8720 10028 10394 12535 20056 20788 25070 25985 40112 41576 50140 51970 83152 100280 103940 119531 200560 207880 239062 415760 478124 566473 597655 956248 1132946 1195310 1912496 2265892 2390620 2832365 4531784 4781240 5664730 9063568 9562480 11329460 13028879 22658920 26057758 45317840 52115516 65144395 104231032 130288790 208462064 260577580 521155160 1042310320