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3371040 = 253252341
BaseRepresentation
bin1100110111000000100000
320100021012100
430313000200
51330333130
6200130400
740440051
oct14670040
96307170
103371040
1119a2792
121166a00
139104ca
1463a728
15468c60
hex337020

3371040 has 72 divisors (see below), whose sum is σ = 11508588. Its totient is φ = 898560.

The previous prime is 3370993. The next prime is 3371059. The reversal of 3371040 is 401733.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 144 = 1836^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33710402 = 22727821363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 270 + ... + 2610.

Almost surely, 23371040 is an apocalyptic number.

3371040 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 3371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754294).

3371040 is an abundant number, since it is smaller than the sum of its proper divisors (8137548).

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

3371040 is a wasteful number, since it uses less digits than its factorization.

3371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3371040 is about 1836.0392152675. The cubic root of 3371040 is about 149.9413103732.

Adding to 3371040 its reverse (401733), we get a palindrome (3772773).

The spelling of 3371040 in words is "three million, three hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2341 4682 7023 9364 11705 14046 18728 21069 23410 28092 35115 37456 42138 46820 56184 70230 74912 84276 93640 105345 112368 140460 168552 187280 210690 224736 280920 337104 374560 421380 561840 674208 842760 1123680 1685520 3371040