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3345000 = 23354223
BaseRepresentation
bin1100110000101001101000
320021221110220
430300221220
51324020000
6155410040
740301121
oct14605150
96257426
103345000
11198516a
121153920
139016b9
14631048
154611a0
hex330a68

3345000 has 80 divisors (see below), whose sum is σ = 10496640. Its totient is φ = 888000.

The previous prime is 3344987. The next prime is 3345029. The reversal of 3345000 is 5433.

It is a super-2 number, since 2×33450002 = 22378050000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14889 + ... + 15111.

It is an arithmetic number, because the mean of its divisors is an integer number (131208).

Almost surely, 23345000 is an apocalyptic number.

3345000 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 3345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248320).

3345000 is an abundant number, since it is smaller than the sum of its proper divisors (7151640).

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

3345000 is a wasteful number, since it uses less digits than its factorization.

3345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3345000 is about 1828.9341158172. The cubic root of 3345000 is about 149.5542321413.

The spelling of 3345000 in words is "three million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 223 250 300 375 446 500 600 625 669 750 892 1000 1115 1250 1338 1500 1784 1875 2230 2500 2676 3000 3345 3750 4460 5000 5352 5575 6690 7500 8920 11150 13380 15000 16725 22300 26760 27875 33450 44600 55750 66900 83625 111500 133800 139375 167250 223000 278750 334500 418125 557500 669000 836250 1115000 1672500 3345000