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2023424 = 2131319
BaseRepresentation
bin111101110000000000000
310210210121122
413232000000
51004222144
6111211412
723125124
oct7560000
93723548
102023424
111162257
12816b68
1355acc0
143a9584
1529e7ee
hex1ee000

2023424 has 56 divisors (see below), whose sum is σ = 4587240. Its totient is φ = 884736.

The previous prime is 2023421. The next prime is 2023433. The reversal of 2023424 is 4243202.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106487 + ... + 106505.

It is an arithmetic number, because the mean of its divisors is an integer number (81915).

22023424 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 2023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293620).

2023424 is an abundant number, since it is smaller than the sum of its proper divisors (2563816).

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

2023424 is an equidigital number, since it uses as much as digits as its factorization.

2023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2023424 is about 1422.4710893371. The cubic root of 2023424 is about 126.4820702923.

Adding to 2023424 its reverse (4243202), we get a palindrome (6266626).

The spelling of 2023424 in words is "two million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 512 608 832 988 1024 1216 1664 1976 2048 2432 3328 3952 4096 4864 6656 7904 8192 9728 13312 15808 19456 26624 31616 38912 53248 63232 77824 106496 126464 155648 252928 505856 1011712 2023424