Search a number
-
+
2115310344 = 233729509853
BaseRepresentation
bin111111000010101…
…0001001100001000
312110102022220021120
41332011101030020
513313004412334
6545522235240
7103263561360
oct17605211410
95412286246
102115310344
11996045a74
124b04b5b20
1327931b834
14160d139a0
15c5a8d949
hex7e151308

2115310344 has 128 divisors (see below), whose sum is σ = 6271776000. Its totient is φ = 581704704.

The previous prime is 2115310333. The next prime is 2115310403. The reversal of 2115310344 is 4430135112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2479422 + ... + 2480274.

It is an arithmetic number, because the mean of its divisors is an integer number (48998250).

Almost surely, 22115310344 is an apocalyptic number.

2115310344 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 2115310344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135888000).

2115310344 is an abundant number, since it is smaller than the sum of its proper divisors (4156465656).

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

2115310344 is a wasteful number, since it uses less digits than its factorization.

2115310344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2115310344 is about 45992.5031282273. The cubic root of 2115310344 is about 1283.6837130138.

Adding to 2115310344 its reverse (4430135112), we get a palindrome (6545445456).

The spelling of 2115310344 in words is "two billion, one hundred fifteen million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 509 609 696 812 853 1018 1218 1527 1624 1706 2036 2436 2559 3054 3412 3563 4072 4872 5118 5971 6108 6824 7126 10236 10689 11942 12216 14252 14761 17913 20472 21378 23884 24737 28504 29522 35826 42756 44283 47768 49474 59044 71652 74211 85512 88566 98948 103327 118088 143304 148422 173159 177132 197896 206654 296844 309981 346318 354264 413308 434177 519477 593688 619962 692636 826616 868354 1038954 1239924 1302531 1385272 1736708 2077908 2479848 2605062 3039239 3473416 4155816 5210124 6078478 9117717 10420248 12156956 12591133 18235434 24313912 25182266 36470868 37773399 50364532 72941736 75546798 88137931 100729064 151093596 176275862 264413793 302187192 352551724 528827586 705103448 1057655172 2115310344