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3378540 = 2235115119
BaseRepresentation
bin1100111000110101101100
320100122111010
430320311230
51331103130
6200225220
740500654
oct14706554
96318433
103378540
1119a8390
12116b210
13913a49
1463d364
1546b0b0
hex338d6c

3378540 has 48 divisors (see below), whose sum is σ = 10321920. Its totient is φ = 818880.

The previous prime is 3378533. The next prime is 3378559. The reversal of 3378540 is 458733.

It is a super-2 number, since 2×33785402 = 22829065063200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3378498 and 3378507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (215040).

Almost surely, 23378540 is an apocalyptic number.

3378540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3378540 is an abundant number, since it is smaller than the sum of its proper divisors (6943380).

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

3378540 is a wasteful number, since it uses less digits than its factorization.

3378540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3378540 is about 1838.0805205431. The cubic root of 3378540 is about 150.0524261190.

The spelling of 3378540 in words is "three million, three hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5119 10238 15357 20476 25595 30714 51190 56309 61428 76785 102380 112618 153570 168927 225236 281545 307140 337854 563090 675708 844635 1126180 1689270 3378540