Search a number
-
+
3230112240 = 243254919137
BaseRepresentation
bin1100000010000111…
…1001100111110000
322100010000200222200
43000201321213300
523103402042430
61252304303200
7143021333565
oct30041714760
98303020880
103230112240
111408350153
12761911b00
133c6282924
14228dc686c
1513d89a460
hexc08799f0

3230112240 has 120 divisors (see below), whose sum is σ = 10871076528. Its totient is φ = 859514880.

The previous prime is 3230112229. The next prime is 3230112241. The reversal of 3230112240 is 422110323.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230112241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348952 + ... + 358088.

Almost surely, 23230112240 is an apocalyptic number.

3230112240 is a gapful number since it is divisible by the number (30) 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 3230112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435538264).

3230112240 is an abundant number, since it is smaller than the sum of its proper divisors (7640964288).

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

3230112240 is a wasteful number, since it uses less digits than its factorization.

3230112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9638 counting only the distinct ones).

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

The square root of 3230112240 is about 56834.0763978795. The cubic root of 3230112240 is about 1478.2204445101.

Adding to 3230112240 its reverse (422110323), we get a palindrome (3652222563).

The spelling of 3230112240 in words is "three billion, two hundred thirty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 491 720 982 1473 1964 2455 2946 3928 4419 4910 5892 7365 7856 8838 9137 9820 11784 14730 17676 18274 19640 22095 23568 27411 29460 35352 36548 39280 44190 45685 54822 58920 70704 73096 82233 88380 91370 109644 117840 137055 146192 164466 176760 182740 219288 274110 328932 353520 365480 411165 438576 548220 657864 730960 822330 1096440 1315728 1644660 2192880 3289320 4486267 6578640 8972534 13458801 17945068 22431335 26917602 35890136 40376403 44862670 53835204 67294005 71780272 80752806 89725340 107670408 134588010 161505612 179450680 201882015 215340816 269176020 323011224 358901360 403764030 538352040 646022448 807528060 1076704080 1615056120 3230112240