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1023353420 = 225177341231
BaseRepresentation
bin111100111111110…
…010001001001100
32122022121201222112
4330333302021030
54043434302140
6245314003152
734234234445
oct7477621114
92568551875
101023353420
11485724631
122468764b8
13134025a8b
1499caa2cc
155ec95c65
hex3cff224c

1023353420 has 48 divisors (see below), whose sum is σ = 2306683008. Its totient is φ = 379975680.

The previous prime is 1023353413. The next prime is 1023353423. The reversal of 1023353420 is 243533201.

1023353420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1023353423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205 + ... + 45435.

It is an arithmetic number, because the mean of its divisors is an integer number (48055896).

Almost surely, 21023353420 is an apocalyptic number.

1023353420 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 1023353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153341504).

1023353420 is an abundant number, since it is smaller than the sum of its proper divisors (1283329588).

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

1023353420 is a wasteful number, since it uses less digits than its factorization.

1023353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41330 (or 41328 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 1023353420 is about 31989.8955922022. The cubic root of 1023353420 is about 1007.7246494799.

Adding to 1023353420 its reverse (243533201), we get a palindrome (1266886621).

The spelling of 1023353420 in words is "one billion, twenty-three million, three hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 24820 41231 82462 164924 206155 412310 700927 824620 1401854 2803708 3009863 3504635 6019726 7009270 12039452 14018540 15049315 30098630 51167671 60197260 102335342 204670684 255838355 511676710 1023353420