Search a number
-
+
3391466880 = 273510117489
BaseRepresentation
bin1100101000100101…
…1010110110000000
322202100122100221110
43022021122312000
523421203420010
61320310523320
7150020664354
oct31211326600
98670570843
103391466880
11149043829a
127a7966540
13420828b49
142425c9464
1514cb1e120
hexca25ad80

3391466880 has 128 divisors (see below), whose sum is σ = 10917957600. Its totient is φ = 895385600.

The previous prime is 3391466839. The next prime is 3391466887. The reversal of 3391466880 is 886641933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391466887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185176 + ... + 202664.

Almost surely, 23391466880 is an apocalyptic number.

3391466880 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 3391466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458978800).

3391466880 is an abundant number, since it is smaller than the sum of its proper divisors (7526490720).

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

3391466880 is a wasteful number, since it uses less digits than its factorization.

3391466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3391466880 is about 58236.3020804034. The cubic root of 3391466880 is about 1502.4355809343.

The spelling of 3391466880 in words is "three billion, three hundred ninety-one million, four hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 303 320 384 404 480 505 606 640 808 960 1010 1212 1515 1616 1920 2020 2424 3030 3232 4040 4848 6060 6464 8080 9696 12120 12928 16160 17489 19392 24240 32320 34978 38784 48480 52467 64640 69956 87445 96960 104934 139912 174890 193920 209868 262335 279824 349780 419736 524670 559648 699560 839472 1049340 1119296 1399120 1678944 1766389 2098680 2238592 2798240 3357888 3532778 4197360 5299167 5596480 6715776 7065556 8394720 8831945 10598334 11192960 14131112 16789440 17663890 21196668 26495835 28262224 33578880 35327780 42393336 52991670 56524448 70655560 84786672 105983340 113048896 141311120 169573344 211966680 226097792 282622240 339146688 423933360 565244480 678293376 847866720 1130488960 1695733440 3391466880