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3133421340 = 2235773102199
BaseRepresentation
bin1011101011000100…
…0011011100011100
322002101002022000020
42322301003130130
522404123440330
61234532032140
7140435433120
oct27261033434
98071068006
103133421340
111368809915
12735462650
133ac22a38a
1421a217580
1513514b210
hexbac4371c

3133421340 has 96 divisors (see below), whose sum is σ = 10164403200. Its totient is φ = 706392576.

The previous prime is 3133421329. The next prime is 3133421341. The reversal of 3133421340 is 431243313.

3133421340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3133421340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133421341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20440 + ... + 81759.

It is an arithmetic number, because the mean of its divisors is an integer number (105879200).

Almost surely, 23133421340 is an apocalyptic number.

3133421340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133421340 is an abundant number, since it is smaller than the sum of its proper divisors (7030981860).

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

3133421340 is a wasteful number, since it uses less digits than its factorization.

3133421340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102291 (or 102289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3133421340 is about 55976.9715150793. The cubic root of 3133421340 is about 1463.3209790429.

Adding to 3133421340 its reverse (431243313), we get a palindrome (3564664653).

The spelling of 3133421340 in words is "three billion, one hundred thirty-three million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 1022 1095 1460 1533 2044 2190 2555 3066 4380 5110 6132 7665 10220 15330 30660 102199 204398 306597 408796 510995 613194 715393 1021990 1226388 1430786 1532985 2043980 2146179 2861572 3065970 3576965 4292358 6131940 7153930 7460527 8584716 10730895 14307860 14921054 21461790 22381581 29842108 37302635 42923580 44763162 52223689 74605270 89526324 104447378 111907905 149210540 156671067 208894756 223815810 261118445 313342134 447631620 522236890 626684268 783355335 1044473780 1566710670 3133421340