Search a number
-
+
113002344 = 23337135749
BaseRepresentation
bin1101011110001…
…00011101101000
321212122010002000
412233010131220
5212412033334
615114011000
72541334620
oct657043550
9255563060
10113002344
1158872374
1231a16a60
131a546ac0
1411017880
159dc2299
hex6bc4768

113002344 has 128 divisors (see below), whose sum is σ = 386400000. Its totient is φ = 29797632.

The previous prime is 113002339. The next prime is 113002363. The reversal of 113002344 is 443200311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16782 + ... + 22530.

It is an arithmetic number, because the mean of its divisors is an integer number (3018750).

Almost surely, 2113002344 is an apocalyptic number.

113002344 is a gapful number since it is divisible by the number (14) 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 113002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193200000).

113002344 is an abundant number, since it is smaller than the sum of its proper divisors (273397656).

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

113002344 is a wasteful number, since it uses less digits than its factorization.

113002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113002344 is about 10630.2560646487. The cubic root of 113002344 is about 483.4621555419.

Adding to 113002344 its reverse (443200311), we get a palindrome (556202655).

The spelling of 113002344 in words is "one hundred thirteen million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 5749 6552 9828 11498 17247 19656 22996 34494 40243 45992 51741 68988 74737 80486 103482 120729 137976 149474 155223 160972 206964 224211 241458 298948 310446 321944 362187 413928 448422 482916 523159 597896 620892 672633 724374 896844 965832 1046318 1086561 1241784 1345266 1448748 1569477 1793688 2017899 2092636 2173122 2690532 2897496 3138954 4035798 4185272 4346244 4708431 5381064 6277908 8071596 8692488 9416862 12555816 14125293 16143192 18833724 28250586 37667448 56501172 113002344