Search a number
-
+
3482640 = 243257691
BaseRepresentation
bin1101010010010000010000
320112221021200
431102100100
51342421030
6202351200
741413320
oct15222020
96487250
103482640
111a69617
1211bb500
1394c245
14669280
1548bd60
hex352410

3482640 has 120 divisors (see below), whose sum is σ = 13386048. Its totient is φ = 794880.

The previous prime is 3482627. The next prime is 3482669. The reversal of 3482640 is 462843.

3482640 is digitally balanced in base 5, 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 (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4695 + ... + 5385.

Almost surely, 23482640 is an apocalyptic number.

3482640 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 3482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693024).

3482640 is an abundant number, since it is smaller than the sum of its proper divisors (9903408).

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

3482640 is a wasteful number, since it uses less digits than its factorization.

3482640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3482640 is about 1866.1832707427. The cubic root of 3482640 is about 151.5780077305.

The spelling of 3482640 in words is "three million, four hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 691 720 840 1008 1260 1382 1680 2073 2520 2764 3455 4146 4837 5040 5528 6219 6910 8292 9674 10365 11056 12438 13820 14511 16584 19348 20730 24185 24876 27640 29022 31095 33168 38696 41460 43533 48370 49752 55280 58044 62190 72555 77392 82920 87066 96740 99504 116088 124380 145110 165840 174132 193480 217665 232176 248760 290220 348264 386960 435330 497520 580440 696528 870660 1160880 1741320 3482640