Search a number
-
+
1023406452 = 223228427957
BaseRepresentation
bin111100111111111…
…111000101110100
32122022201102201200
4330333333011310
54043443001302
6245315052500
734234545165
oct7477770564
92568642650
101023406452
11485760462
122468a1130
13134043c63
1499cc176c
155eca681c
hex3cfff174

1023406452 has 18 divisors (see below), whose sum is σ = 2586944178. Its totient is φ = 341135472.

The previous prime is 1023406451. The next prime is 1023406457. The reversal of 1023406452 is 2546043201.

1023406452 is a `hidden beast` number, since 10 + 2 + 3 + 4 + 0 + 645 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 595164816 + 428241636 = 24396^2 + 20694^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023406451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14213943 + ... + 14214014.

It is an arithmetic number, because the mean of its divisors is an integer number (143719121).

Almost surely, 21023406452 is an apocalyptic number.

1023406452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023406452 is an abundant number, since it is smaller than the sum of its proper divisors (1563537726).

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

1023406452 is a wasteful number, since it uses less digits than its factorization.

1023406452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28427967 (or 28427962 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1023406452 is about 31990.7244681955. The cubic root of 1023406452 is about 1007.7420565423.

Adding to 1023406452 its reverse (2546043201), we get a palindrome (3569449653).

The spelling of 1023406452 in words is "one billion, twenty-three million, four hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 28427957 56855914 85283871 113711828 170567742 255851613 341135484 511703226 1023406452