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24134240 = 2551341283
BaseRepresentation
bin101110000010…
…0001001100000
31200102010221202
41130010021200
522134243430
62221140332
7412065134
oct134041140
950363852
1024134240
1112694459
1280ba6a8
135000120
1432c33c4
1521bad45
hex1704260

24134240 has 96 divisors (see below), whose sum is σ = 63122976. Its totient is φ = 8663040.

The previous prime is 24134233. The next prime is 24134251. The reversal of 24134240 is 4243142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85139 + ... + 85421.

It is an arithmetic number, because the mean of its divisors is an integer number (657531).

Almost surely, 224134240 is an apocalyptic number.

24134240 is a gapful number since it is divisible by the number (20) 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 24134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31561488).

24134240 is an abundant number, since it is smaller than the sum of its proper divisors (38988736).

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

24134240 is a wasteful number, since it uses less digits than its factorization.

24134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 24134240 is about 4912.6611932841. The cubic root of 24134240 is about 288.9867133094.

Adding to 24134240 its reverse (4243142), we get a palindrome (28377382).

The spelling of 24134240 in words is "twenty-four million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 283 328 410 416 520 533 566 656 820 1040 1066 1132 1312 1415 1640 2080 2132 2264 2665 2830 3280 3679 4264 4528 5330 5660 6560 7358 8528 9056 10660 11320 11603 14716 17056 18395 21320 22640 23206 29432 36790 42640 45280 46412 58015 58864 73580 85280 92824 116030 117728 147160 150839 185648 232060 294320 301678 371296 464120 588640 603356 754195 928240 1206712 1508390 1856480 2413424 3016780 4826848 6033560 12067120 24134240