Search a number
-
+
23378944 = 21017279
BaseRepresentation
bin101100100101…
…1110000000000
31121222202212211
41121023300000
521441111234
62153031504
7402501121
oct131136000
947882784
1023378944
1112218a46
1279b5594
134ac73c4
143168048
1520bc164
hex164bc00

23378944 has 66 divisors (see below), whose sum is σ = 50274320. Its totient is φ = 10862592.

The previous prime is 23378941. The next prime is 23378947. The reversal of 23378944 is 44987332.

It is an interprime number because it is at equal distance from previous prime (23378941) and next prime (23378947).

It is a junction number, because it is equal to n+sod(n) for n = 23378897 and 23378906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23378941) 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, 295897 + ... + 295975.

Almost surely, 223378944 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 23378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137160).

23378944 is an abundant number, since it is smaller than the sum of its proper divisors (26895376).

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

23378944 is an equidigital number, since it uses as much as digits as its factorization.

23378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 23378944 is about 4835.1777630197. The cubic root of 23378944 is about 285.9400333955.

The spelling of 23378944 in words is "twenty-three million, three hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 256 272 289 316 512 544 578 632 1024 1088 1156 1264 1343 2176 2312 2528 2686 4352 4624 5056 5372 8704 9248 10112 10744 17408 18496 20224 21488 22831 36992 40448 42976 45662 73984 80896 85952 91324 147968 171904 182648 295936 343808 365296 687616 730592 1375232 1461184 2922368 5844736 11689472 23378944