Search a number
-
+
3231234420 = 22353710114411
BaseRepresentation
bin1100000010011000…
…1011100101110100
322100012010201022220
43000212023211310
523104144000140
61252344322340
7143034016341
oct30046134564
98305121286
103231234420
111408a47277
127621733b0
133c658663b
142291d97c8
1513da1cbd0
hexc098b974

3231234420 has 96 divisors (see below), whose sum is σ = 9384633216. Its totient is φ = 830016000.

The previous prime is 3231234397. The next prime is 3231234437. The reversal of 3231234420 is 244321323.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217015 + ... + 231425.

It is an arithmetic number, because the mean of its divisors is an integer number (97756596).

Almost surely, 23231234420 is an apocalyptic number.

3231234420 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 3231234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692316608).

3231234420 is an abundant number, since it is smaller than the sum of its proper divisors (6153398796).

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

3231234420 is a wasteful number, since it uses less digits than its factorization.

3231234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14559 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3231234420 is about 56843.9479628219. The cubic root of 3231234420 is about 1478.3916085681.

Adding to 3231234420 its reverse (244321323), we get a palindrome (3475555743).

The spelling of 3231234420 in words is "three billion, two hundred thirty-one million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 555 606 740 1010 1110 1212 1515 2020 2220 3030 3737 6060 7474 11211 14411 14948 18685 22422 28822 37370 43233 44844 56055 57644 72055 74740 86466 112110 144110 172932 216165 224220 288220 432330 533207 864660 1066414 1455511 1599621 2132828 2666035 2911022 3199242 4366533 5332070 5822044 6398484 7277555 7998105 8733066 10664140 14555110 15996210 17466132 21832665 29110220 31992420 43665330 53853907 87330660 107707814 161561721 215415628 269269535 323123442 538539070 646246884 807808605 1077078140 1615617210 3231234420