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3345240 = 233561457
BaseRepresentation
bin1100110000101101011000
320021221210210
430300231120
51324021430
6155411120
740301613
oct14605530
96257723
103345240
111985368
121153aa0
13901842
1463117a
154612b0
hex330b58

3345240 has 64 divisors (see below), whose sum is σ = 10222560. Its totient is φ = 875520.

The previous prime is 3345233. The next prime is 3345247. The reversal of 3345240 is 425433.

It is a happy number.

3345240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 18292-1.

It is an interprime number because it is at equal distance from previous prime (3345233) and next prime (3345247).

It is a super-2 number, since 2×33452402 = 22381261315200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7092 + ... + 7548.

Almost surely, 23345240 is an apocalyptic number.

3345240 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 3345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111280).

3345240 is an abundant number, since it is smaller than the sum of its proper divisors (6877320).

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

3345240 is a wasteful number, since it uses less digits than its factorization.

3345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3345240 is about 1828.9997266266. Note that the first 3 decimals coincide. The cubic root of 3345240 is about 149.5578088386.

The spelling of 3345240 in words is "three million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 457 488 610 732 914 915 1220 1371 1464 1828 1830 2285 2440 2742 3656 3660 4570 5484 6855 7320 9140 10968 13710 18280 27420 27877 54840 55754 83631 111508 139385 167262 223016 278770 334524 418155 557540 669048 836310 1115080 1672620 3345240