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3345480 = 233259293
BaseRepresentation
bin1100110000110001001000
320021222010200
430300301020
51324023410
6155412200
740302405
oct14606110
96258120
103345480
111985566
121154060
13901998
146312ac
154613c0
hex330c48

3345480 has 48 divisors (see below), whose sum is σ = 10873980. Its totient is φ = 892032.

The previous prime is 3345479. The next prime is 3345491. The reversal of 3345480 is 845433.

It is a happy number.

3345480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3006756 + 338724 = 1734^2 + 582^2 .

It is a super-2 number, since 2×33454802 = 22384472860800, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4287 + ... + 5006.

Almost surely, 23345480 is an apocalyptic number.

3345480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3345480 is an abundant number, since it is smaller than the sum of its proper divisors (7528500).

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

3345480 is a wasteful number, since it uses less digits than its factorization.

3345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3345480 is about 1829.0653350824. The cubic root of 3345480 is about 149.5613853648.

The spelling of 3345480 in words is "three million, three hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9293 18586 27879 37172 46465 55758 74344 83637 92930 111516 139395 167274 185860 223032 278790 334548 371720 418185 557580 669096 836370 1115160 1672740 3345480