Search a number
-
+
3235141344 = 253176132497
BaseRepresentation
bin1100000011010100…
…0101011011100000
322100110111012121210
43000311011123200
523111144010334
61253004150120
7143112150651
oct30065053340
98313435553
103235141344
111410175636
12763538340
133c7323a26
14229935528
1513e0405e9
hexc0d456e0

3235141344 has 96 divisors (see below), whose sum is σ = 9139477536. Its totient is φ = 998277120.

The previous prime is 3235141339. The next prime is 3235141363. The reversal of 3235141344 is 4431415323.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32351413442 = 20932279031316252672, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 83304 + ... + 115800.

It is an arithmetic number, because the mean of its divisors is an integer number (95202891).

Almost surely, 23235141344 is an apocalyptic number.

3235141344 is a gapful number since it is divisible by the number (34) 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 3235141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569738768).

3235141344 is an abundant number, since it is smaller than the sum of its proper divisors (5904336192).

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

3235141344 is a wasteful number, since it uses less digits than its factorization.

3235141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32588 (or 32580 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3235141344 is about 56878.3029282696. The cubic root of 3235141344 is about 1478.9872155447.

Adding to 3235141344 its reverse (4431415323), we get a palindrome (7666556667).

The spelling of 3235141344 in words is "three billion, two hundred thirty-five million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 68 96 102 122 136 183 204 244 272 366 408 488 544 732 816 976 1037 1464 1632 1952 2074 2928 3111 4148 5856 6222 8296 12444 16592 24888 32497 33184 49776 64994 97491 99552 129988 194982 259976 389964 519952 552449 779928 1039904 1104898 1559856 1657347 1982317 2209796 3119712 3314694 3964634 4419592 5946951 6629388 7929268 8839184 11893902 13258776 15858536 17678368 23787804 26517552 31717072 33699389 47575608 53035104 63434144 67398778 95151216 101098167 134797556 190302432 202196334 269595112 404392668 539190224 808785336 1078380448 1617570672 3235141344