Search a number
-
+
3244342440 = 2335169915913
BaseRepresentation
bin1100000101100000…
…1011110010101000
322101002210200011010
43001120023302220
523121022424230
61253533303520
7143253312213
oct30130136250
98332720133
103244342440
11141538a549
12766634ba0
133c91c5a71
1422ac4c77a
1513ec5b9b0
hexc160bca8

3244342440 has 64 divisors (see below), whose sum is σ = 9739368000. Its totient is φ = 864594432.

The previous prime is 3244342403. The next prime is 3244342457. The reversal of 3244342440 is 442434423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3244342398 and 3244342407.

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, 195924 + ... + 211836.

It is an arithmetic number, because the mean of its divisors is an integer number (152177625).

Almost surely, 23244342440 is an apocalyptic number.

3244342440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3244342440 is an abundant number, since it is smaller than the sum of its proper divisors (6495025560).

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

3244342440 is a wasteful number, since it uses less digits than its factorization.

3244342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17626 (or 17622 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3244342440 is about 56959.1295579559. The cubic root of 3244342440 is about 1480.3880221953.

Adding to 3244342440 its reverse (442434423), we get a palindrome (3686776863).

The spelling of 3244342440 in words is "three billion, two hundred forty-four million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1699 3398 5097 6796 8495 10194 13592 15913 16990 20388 25485 31826 33980 40776 47739 50970 63652 67960 79565 95478 101940 127304 159130 190956 203880 238695 318260 381912 477390 636520 954780 1909560 27036187 54072374 81108561 108144748 135180935 162217122 216289496 270361870 324434244 405542805 540723740 648868488 811085610 1081447480 1622171220 3244342440