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3319380 = 22355683
BaseRepresentation
bin1100101010011001010100
320020122100000
430222121110
51322210010
6155051300
740133331
oct14523124
96218300
103319380
111967999
121140b30
138c2b3c
14625988
154587c0
hex32a654

3319380 has 72 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 883872.

The previous prime is 3319363. The next prime is 3319391. The reversal of 3319380 is 839133.

It is a super-2 number, since 2×33193802 = 22036567168800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4519 + ... + 5201.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 23319380 is an apocalyptic number.

3319380 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 3319380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3319380 is an abundant number, since it is smaller than the sum of its proper divisors (7137612).

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

3319380 is a wasteful number, since it uses less digits than its factorization.

3319380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3319380 is about 1821.9165732821. The cubic root of 3319380 is about 149.1714315898.

The spelling of 3319380 in words is "three million, three hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 683 810 972 1215 1366 1620 2049 2430 2732 3415 4098 4860 6147 6830 8196 10245 12294 13660 18441 20490 24588 30735 36882 40980 55323 61470 73764 92205 110646 122940 165969 184410 221292 276615 331938 368820 553230 663876 829845 1106460 1659690 3319380