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1023114320 = 24522375717
BaseRepresentation
bin111100111110110…
…111110001010000
32122022011120222222
4330332313301100
54043404124240
6245304520212
734232220404
oct7476676120
92568146888
101023114320
11485580a28
12246780068
13133c70cb7
1499c47104
155ec49eb5
hex3cfb7c50

1023114320 has 40 divisors (see below), whose sum is σ = 2380220424. Its totient is φ = 408991232.

The previous prime is 1023114289. The next prime is 1023114329. The reversal of 1023114320 is 234113201.

It can be written as a sum of positive squares in 4 ways, for example, as 253828624 + 769285696 = 15932^2 + 27736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023114329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176102 + ... + 181818.

Almost surely, 21023114320 is an apocalyptic number.

1023114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023114320 is an abundant number, since it is smaller than the sum of its proper divisors (1357106104).

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

1023114320 is a wasteful number, since it uses less digits than its factorization.

1023114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1023114320 is about 31986.1582563458. The cubic root of 1023114320 is about 1007.6461605543.

Adding to 1023114320 its reverse (234113201), we get a palindrome (1257227521).

The spelling of 1023114320 in words is "one billion, twenty-three million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2237 4474 5717 8948 11185 11434 17896 22370 22868 28585 35792 44740 45736 57170 89480 91472 114340 178960 228680 457360 12788929 25577858 51155716 63944645 102311432 127889290 204622864 255778580 511557160 1023114320