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1023414340 = 2251310736787
BaseRepresentation
bin111101000000000…
…001000001000100
32122022201211112211
4331000001001010
54043443224330
6245315153204
734234610164
oct7500010104
92568654484
101023414340
11485766383
122468a5804
13134047720
1499cc45a4
155eca8d2a
hex3d001044

1023414340 has 48 divisors (see below), whose sum is σ = 2336185152. Its totient is φ = 374334336.

The previous prime is 1023414323. The next prime is 1023414383. The reversal of 1023414340 is 434143201.

It is a super-2 number, since 2×10234143402 = 2094753822635271200, which contains 22 as substring.

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, 9427 + ... + 46213.

It is an arithmetic number, because the mean of its divisors is an integer number (48670524).

Almost surely, 21023414340 is an apocalyptic number.

1023414340 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 1023414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168092576).

1023414340 is an abundant number, since it is smaller than the sum of its proper divisors (1312770812).

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

1023414340 is a wasteful number, since it uses less digits than its factorization.

1023414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36916 (or 36914 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1023414340 is about 31990.8477536936. The cubic root of 1023414340 is about 1007.7446456241.

Adding to 1023414340 its reverse (434143201), we get a palindrome (1457557541).

The spelling of 1023414340 in words is "one billion, twenty-three million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 13910 27820 36787 73574 147148 183935 367870 478231 735740 956462 1912924 2391155 3936209 4782310 7872418 9564620 15744836 19681045 39362090 51170717 78724180 102341434 204682868 255853585 511707170 1023414340