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23428352 = 28232173
BaseRepresentation
bin101100101011…
…1110100000000
31122002021122202
41121113310000
521444201402
62154052332
7403065143
oct131276400
948067582
1023428352
1112252082
127a1a0a8
134b13a3c
14317c05a
1520cbb02
hex1657d00

23428352 has 54 divisors (see below), whose sum is σ = 49169442. Its totient is φ = 11140096.

The previous prime is 23428337. The next prime is 23428357. The reversal of 23428352 is 25382432.

It can be written as a sum of positive squares in only one way, i.e., 22886656 + 541696 = 4784^2 + 736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23428357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135338 + ... + 135510.

Almost surely, 223428352 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 23428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24584721).

23428352 is an abundant number, since it is smaller than the sum of its proper divisors (25741090).

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

23428352 is an equidigital number, since it uses as much as digits as its factorization.

23428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 23428352 is about 4840.2842891715. The cubic root of 23428352 is about 286.1413225632.

The spelling of 23428352 in words is "twenty-three million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 256 346 368 529 692 736 1058 1384 1472 2116 2768 2944 3979 4232 5536 5888 7958 8464 11072 15916 16928 22144 31832 33856 44288 63664 67712 91517 127328 135424 183034 254656 366068 509312 732136 1018624 1464272 2928544 5857088 11714176 23428352