Search a number
-
+
3681334320 = 243531494803
BaseRepresentation
bin1101101101101100…
…1011010000110000
3100111120002011022120
43123123023100300
530014410144240
61405143434240
7160140553056
oct33333132060
910446064276
103681334320
11161a020a64
12868a55980
134688b9941
1426ccc21d6
151682caad0
hexdb6cb430

3681334320 has 80 divisors (see below), whose sum is σ = 11780293632. Its totient is φ = 950019840.

The previous prime is 3681334313. The next prime is 3681334331. The reversal of 3681334320 is 234331863.

3681334320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239962 + ... + 254841.

Almost surely, 23681334320 is an apocalyptic number.

3681334320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3681334320 is an abundant number, since it is smaller than the sum of its proper divisors (8098959312).

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

3681334320 is a wasteful number, since it uses less digits than its factorization.

3681334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494850 (or 494844 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3681334320 is about 60674.0003625935. Note that the first 3 decimals coincide. The cubic root of 3681334320 is about 1544.0751012715.

The spelling of 3681334320 in words is "three billion, six hundred eighty-one million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 494803 989606 1484409 1979212 2474015 2968818 3958424 4948030 5937636 7422045 7916848 9896060 11875272 14844090 15338893 19792120 23750544 29688180 30677786 39584240 46016679 59376360 61355572 76694465 92033358 118752720 122711144 153388930 184066716 230083395 245422288 306777860 368133432 460166790 613555720 736266864 920333580 1227111440 1840667160 3681334320