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3355040 = 255131613
BaseRepresentation
bin1100110011000110100000
320022110020202
430303012200
51324330130
6155524332
740342313
oct14630640
96273222
103355040
111991767
1211596a8
13906140
1463497a
15464145
hex3331a0

3355040 has 48 divisors (see below), whose sum is σ = 8541288. Its totient is φ = 1238016.

The previous prime is 3355031. The next prime is 3355057. The reversal of 3355040 is 405533.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 1056784 = 1516^2 + 1028^2 .

It is a super-2 number, since 2×33550402 = 22512586803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274 + ... + 2886.

Almost surely, 23355040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270644).

3355040 is an abundant number, since it is smaller than the sum of its proper divisors (5186248).

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

3355040 is a wasteful number, since it uses less digits than its factorization.

3355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 3355040 is about 1831.6768273907. The cubic root of 3355040 is about 149.7037114355.

The spelling of 3355040 in words is "three million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1613 2080 3226 6452 8065 12904 16130 20969 25808 32260 41938 51616 64520 83876 104845 129040 167752 209690 258080 335504 419380 671008 838760 1677520 3355040