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1023069312 = 2733296027
BaseRepresentation
bin111100111110101…
…100110010000000
32122022002022021000
4330332230302000
54043401204222
6245303532000
734231642236
oct7476546200
92568068230
101023069312
11485550131
1224675a000
13133c56675
1499c34956
155ec3b9ac
hex3cfacc80

1023069312 has 64 divisors (see below), whose sum is σ = 3019485600. Its totient is φ = 341021952.

The previous prime is 1023069301. The next prime is 1023069319. The reversal of 1023069312 is 2139603201.

1023069312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1023069319) 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, 144558 + ... + 151469.

Almost surely, 21023069312 is an apocalyptic number.

1023069312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023069312 is an abundant number, since it is smaller than the sum of its proper divisors (1996416288).

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

1023069312 is an equidigital number, since it uses as much as digits as its factorization.

1023069312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296050 (or 296032 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1023069312 is about 31985.4546942825. The cubic root of 1023069312 is about 1007.6313844918.

The spelling of 1023069312 in words is "one billion, twenty-three million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 296027 592054 888081 1184108 1776162 2368216 2664243 3552324 4736432 5328486 7104648 7992729 9472864 10656972 14209296 15985458 18945728 21313944 28418592 31970916 37891456 42627888 56837184 63941832 85255776 113674368 127883664 170511552 255767328 341023104 511534656 1023069312