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3301320 = 2335114161
BaseRepresentation
bin1100100101111111001000
320012201120010
430211333020
51321120240
6154431520
740026561
oct14457710
96181503
103301320
111955370
1211325a0
138b7859
1461d168
15453280
hex325fc8

3301320 has 128 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 768000.

The previous prime is 3301303. The next prime is 3301321. The reversal of 3301320 is 231033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3301296 and 3301305.

It is not an unprimeable number, because it can be changed into a prime (3301321) 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, 54090 + ... + 54150.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

Almost surely, 23301320 is an apocalyptic number.

3301320 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 3301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3301320 is an abundant number, since it is smaller than the sum of its proper divisors (7947960).

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

3301320 is a wasteful number, since it uses less digits than its factorization.

3301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3301320 is about 1816.9534941764. The cubic root of 3301320 is about 148.9004033899.

Adding to 3301320 its reverse (231033), we get a palindrome (3532353).

It can be divided in two parts, 33013 and 20, that added together give a palindrome (33033).

The spelling of 3301320 in words is "three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 61 66 82 88 110 120 122 123 132 164 165 183 205 220 244 246 264 305 328 330 366 410 440 451 488 492 610 615 660 671 732 820 902 915 984 1220 1230 1320 1342 1353 1464 1640 1804 1830 2013 2255 2440 2460 2501 2684 2706 3355 3608 3660 4026 4510 4920 5002 5368 5412 6710 6765 7320 7503 8052 9020 10004 10065 10824 12505 13420 13530 15006 16104 18040 20008 20130 25010 26840 27060 27511 30012 37515 40260 50020 54120 55022 60024 75030 80520 82533 100040 110044 137555 150060 165066 220088 275110 300120 330132 412665 550220 660264 825330 1100440 1650660 3301320