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1023134424 = 233137146187
BaseRepresentation
bin111100111110111…
…100101011011000
32122022012121120120
4330332330223120
54043410300144
6245305153240
734232333124
oct7476745330
92568177516
101023134424
11485595044
1224678b820
13133c7a1b0
1499c50584
155ec50e19
hex3cfbcad8

1023134424 has 64 divisors (see below), whose sum is σ = 2793450240. Its totient is φ = 310369920.

The previous prime is 1023134423. The next prime is 1023134429. The reversal of 1023134424 is 4244313201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1023134394 and 1023134403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023134423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942 + ... + 45245.

It is an arithmetic number, because the mean of its divisors is an integer number (43647660).

Almost surely, 21023134424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396725120).

1023134424 is an abundant number, since it is smaller than the sum of its proper divisors (1770315816).

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

1023134424 is a wasteful number, since it uses less digits than its factorization.

1023134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46280 (or 46276 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1023134424 is about 31986.4725157370. The cubic root of 1023134424 is about 1007.6527605290.

Adding to 1023134424 its reverse (4244313201), we get a palindrome (5267447625).

The spelling of 1023134424 in words is "one billion, twenty-three million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1704 1846 2769 3692 5538 7384 11076 22152 46187 92374 138561 184748 277122 369496 554244 600431 1108488 1200862 1801293 2401724 3279277 3602586 4803448 6558554 7205172 9837831 13117108 14410344 19675662 26234216 39351324 42630601 78702648 85261202 127891803 170522404 255783606 341044808 511567212 1023134424