Search a number
-
+
3234141324 = 2233211347409
BaseRepresentation
bin1100000011000101…
…0001010010001100
322100101121101212000
43000301101102030
523110420010244
61252530512300
7143100514311
oct30061212214
98311541760
103234141324
11140a652277
12763135690
133c70637bb
14229754d08
1513dde4169
hexc0c5148c

3234141324 has 96 divisors (see below), whose sum is σ = 8469484800. Its totient is φ = 1067230080.

The previous prime is 3234141283. The next prime is 3234141349. The reversal of 3234141324 is 4231414323.

3234141324 is a `hidden beast` number, since 323 + 4 + 14 + 1 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907232 + ... + 7907640.

It is an arithmetic number, because the mean of its divisors is an integer number (88223800).

Almost surely, 23234141324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234742400).

3234141324 is an abundant number, since it is smaller than the sum of its proper divisors (5235343476).

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

3234141324 is a wasteful number, since it uses less digits than its factorization.

3234141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3234141324 is about 56869.5113747252. The cubic root of 3234141324 is about 1478.8348090954.

Adding to 3234141324 its reverse (4231414323), we get a palindrome (7465555647).

The spelling of 3234141324 in words is "three billion, two hundred thirty-four million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 347 409 422 633 694 818 844 1041 1227 1266 1388 1636 1899 2082 2454 2532 3123 3681 3798 4164 4908 5697 6246 7362 7596 9369 11043 11394 12492 14724 18738 22086 22788 37476 44172 73217 86299 141923 146434 172598 219651 258897 283846 292868 345196 425769 439302 517794 567692 658953 776691 851538 878604 1035588 1277307 1317906 1553382 1703076 1976859 2330073 2554614 2635812 3106764 3831921 3953718 4660146 5109228 7663842 7907436 9320292 15327684 29945753 59891506 89837259 119783012 179674518 269511777 359349036 539023554 808535331 1078047108 1617070662 3234141324