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1023435424 = 251121012617
BaseRepresentation
bin111101000000000…
…110001010100000
32122022202220110201
4331000012022200
54043444413144
6245315434544
734235025514
oct7500061240
92568686421
101023435424
11485780200
122468b5a54
131340541bb
1499ccc144
155ecb01d4
hex3d0062a0

1023435424 has 72 divisors (see below), whose sum is σ = 2237494644. Its totient is φ = 460416000.

The previous prime is 1023435421. The next prime is 1023435467. The reversal of 1023435424 is 4245343201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 690007824 + 333427600 = 26268^2 + 18260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023435392 and 1023435401.

It is not an unprimeable number, because it can be changed into a prime (1023435421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389764 + ... + 392380.

Almost surely, 21023435424 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 1023435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118747322).

1023435424 is an abundant number, since it is smaller than the sum of its proper divisors (1214059220).

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

1023435424 is a wasteful number, since it uses less digits than its factorization.

1023435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1023435424 is about 31991.1772837450. The cubic root of 1023435424 is about 1007.7515659695.

Adding to 1023435424 its reverse (4245343201), we get a palindrome (5268778625).

The spelling of 1023435424 in words is "one billion, twenty-three million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 121 176 202 242 352 404 484 808 968 1111 1616 1936 2222 2617 3232 3872 4444 5234 8888 10468 12221 17776 20936 24442 28787 35552 41872 48884 57574 83744 97768 115148 195536 230296 264317 316657 391072 460592 528634 633314 921184 1057268 1266628 2114536 2533256 2907487 4229072 5066512 5814974 8458144 10133024 11629948 23259896 31982357 46519792 63964714 93039584 127929428 255858856 511717712 1023435424