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3382995 = 3571129101
BaseRepresentation
bin1100111001111011010011
320100212121010
430321323103
51331223440
6200302003
740516650
oct14717323
96325533
103382995
111a00770
121171903
13915a95
14640c27
1546c580
hex339ed3

3382995 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 1344000.

The previous prime is 3382993. The next prime is 3383041. The reversal of 3382995 is 5992833.

It is not a de Polignac number, because 3382995 - 21 = 3382993 is a prime.

It is a super-2 number, since 2×33829952 = 22889310340050, which contains 22 as substring.

3382995 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33445 + ... + 33545.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 23382995 is an apocalyptic number.

3382995 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3382995 is an abundant number, since it is smaller than the sum of its proper divisors (3667245).

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

3382995 is a wasteful number, since it uses less digits than its factorization.

3382995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its digits is 58320, while the sum is 39.

The square root of 3382995 is about 1839.2919833458. The cubic root of 3382995 is about 150.1183510401.

It can be divided in two parts, 338 and 2995, that added together give a palindrome (3333).

The spelling of 3382995 in words is "three million, three hundred eighty-two thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 77 87 101 105 145 165 203 231 303 319 385 435 505 609 707 957 1015 1111 1155 1515 1595 2121 2233 2929 3045 3333 3535 4785 5555 6699 7777 8787 10605 11165 14645 16665 20503 23331 32219 33495 38885 43935 61509 96657 102515 116655 161095 225533 307545 483285 676599 1127665 3382995