Search a number
-
+
3231231930 = 2325793311373
BaseRepresentation
bin1100000010011000…
…1010111110111010
322100012010120220200
43000212022332322
523104143410210
61252344303030
7143034006153
oct30046127672
98305116820
103231231930
111408a45413
12762171a76
133c6585474
142291d892a
1513da1c0c0
hexc098afba

3231231930 has 96 divisors (see below), whose sum is σ = 8539464960. Its totient is φ = 847566720.

The previous prime is 3231231919. The next prime is 3231231931. The reversal of 3231231930 is 391321323.

3231231930 is a `hidden beast` number, since 3 + 2 + 312 + 319 + 30 = 666.

3231231930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3231231894 and 3231231903.

It is not an unprimeable number, because it can be changed into a prime (3231231931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2352724 + ... + 2354096.

It is an arithmetic number, because the mean of its divisors is an integer number (88952760).

Almost surely, 23231231930 is an apocalyptic number.

3231231930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3231231930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269732480).

3231231930 is an abundant number, since it is smaller than the sum of its proper divisors (5308233030).

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

3231231930 is a wasteful number, since it uses less digits than its factorization.

3231231930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3231231930 is about 56843.9260607499. The cubic root of 3231231930 is about 1478.3912288168.

The spelling of 3231231930 in words is "three billion, two hundred thirty-one million, two hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 331 395 474 662 711 790 993 1185 1373 1422 1655 1986 2370 2746 2979 3310 3555 4119 4965 5958 6865 7110 8238 9930 12357 13730 14895 20595 24714 26149 29790 41190 52298 61785 78447 108467 123570 130745 156894 216934 235341 261490 325401 392235 454463 470682 542335 650802 784470 908926 976203 1084670 1176705 1363389 1627005 1952406 2272315 2353410 2726778 3254010 4090167 4544630 4881015 6816945 8180334 9762030 13633890 20450835 35902577 40901670 71805154 107707731 179512885 215415462 323123193 359025770 538538655 646246386 1077077310 1615615965 3231231930