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23929344 = 2934577
BaseRepresentation
bin101101101001…
…0001000000000
31200000201220000
41123102020000
522111214334
62212520000
7410252565
oct133221000
950021800
1023929344
111256451a
128020000
134c5aa9a
14326c86c
15217a299
hex16d2200

23929344 has 100 divisors (see below), whose sum is σ = 71546574. Its totient is φ = 7962624.

The previous prime is 23929331. The next prime is 23929351. The reversal of 23929344 is 44392932.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 10969344 = 3600^2 + 3312^2 .

It is a super-2 number, since 2×239293442 = 1145227008540672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23929299 and 23929308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41184 + ... + 41760.

Almost surely, 223929344 is an apocalyptic number.

23929344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773287).

23929344 is an abundant number, since it is smaller than the sum of its proper divisors (47617230).

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

23929344 is an frugal number, since it uses more digits than its factorization.

23929344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 582 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 23929344 is about 4891.7628724214. The cubic root of 23929344 is about 288.1665703090.

The spelling of 23929344 in words is "twenty-three million, nine hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 577 648 768 864 1152 1154 1296 1536 1728 1731 2304 2308 2592 3456 3462 4608 4616 5184 5193 6912 6924 9232 10368 10386 13824 13848 15579 18464 20736 20772 27696 31158 36928 41472 41544 46737 55392 62316 73856 83088 93474 110784 124632 147712 166176 186948 221568 249264 295424 332352 373896 443136 498528 664704 747792 886272 997056 1329408 1495584 1994112 2658816 2991168 3988224 5982336 7976448 11964672 23929344