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3311020320 = 25358637993
BaseRepresentation
bin1100010101011010…
…0010100100100000
322112202021021000020
43011112202210200
523240110122240
61304314353440
7145023131316
oct30526424440
98482237006
103311020320
111449a91633
12784a2b880
13409c7042a
14235a480b6
15145a2d0d0
hexc55a2920

3311020320 has 96 divisors (see below), whose sum is σ = 10443105792. Its totient is φ = 881805312.

The previous prime is 3311020291. The next prime is 3311020331. The reversal of 3311020320 is 230201133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3311020320.

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, 410244 + ... + 418236.

It is an arithmetic number, because the mean of its divisors is an integer number (108782352).

Almost surely, 23311020320 is an apocalyptic number.

3311020320 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 3311020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221552896).

3311020320 is an abundant number, since it is smaller than the sum of its proper divisors (7132085472).

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

3311020320 is a wasteful number, since it uses less digits than its factorization.

3311020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3311020320 is about 57541.4660918541. The cubic root of 3311020320 is about 1490.4609957435.

Adding to 3311020320 its reverse (230201133), we get a palindrome (3541221453).

The spelling of 3311020320 in words is "three billion, three hundred eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 863 1726 2589 3452 4315 5178 6904 7993 8630 10356 12945 13808 15986 17260 20712 23979 25890 27616 31972 34520 39965 41424 47958 51780 63944 69040 79930 82848 95916 103560 119895 127888 138080 159860 191832 207120 239790 255776 319720 383664 414240 479580 639440 767328 959160 1278880 1918320 3836640 6897959 13795918 20693877 27591836 34489795 41387754 55183672 68979590 82775508 103469385 110367344 137959180 165551016 206938770 220734688 275918360 331102032 413877540 551836720 662204064 827755080 1103673440 1655510160 3311020320