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3233141406 = 2341110911663
BaseRepresentation
bin1100000010110101…
…1101001010011110
322100022201121020000
43000231131022132
523110141011111
61252453235130
7143056151145
oct30055351236
98308647200
103233141406
11140a029aa0
12762932aa6
133c6aa3631
1422957475c
1513dc97c56
hexc0b5d29e

3233141406 has 80 divisors (see below), whose sum is σ = 7915235328. Its totient is φ = 978253200.

The previous prime is 3233141393. The next prime is 3233141407. The reversal of 3233141406 is 6041413323.

3233141406 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3233141406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233141407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1943331 + ... + 1944993.

Almost surely, 23233141406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233141406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957617664).

3233141406 is an abundant number, since it is smaller than the sum of its proper divisors (4682093922).

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

3233141406 is a wasteful number, since it uses less digits than its factorization.

3233141406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3233141406 is about 56860.7193587981. The cubic root of 3233141406 is about 1478.6823867761.

Adding to 3233141406 its reverse (6041413323), we get a palindrome (9274554729).

It can be divided in two parts, 32331 and 41406, that added together give a palindrome (73737).

The spelling of 3233141406 in words is "three billion, two hundred thirty-three million, one hundred forty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1091 1663 1782 2182 3273 3326 4989 6546 9819 9978 12001 14967 18293 19638 24002 29457 29934 36003 36586 44901 54879 58914 72006 88371 89802 108009 109758 134703 164637 176742 216018 269406 324027 329274 493911 648054 972081 987822 1481733 1814333 1944162 2963466 3628666 5442999 10885998 16328997 19957663 32657994 39915326 48986991 59872989 97973982 119745978 146960973 179618967 293921946 359237934 538856901 1077713802 1616570703 3233141406