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3420540 = 2232531613
BaseRepresentation
bin1101000011000101111100
320102210002200
431003011330
51333424130
6201151500
741034264
oct15030574
96383080
103420540
111a269a2
12118b590
13929bb6
146507a4
15478760
hex34317c

3420540 has 72 divisors (see below), whose sum is σ = 10727808. Its totient is φ = 881280.

The previous prime is 3420533. The next prime is 3420563. The reversal of 3420540 is 450243.

It is a happy number.

3420540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5274 + ... + 5886.

Almost surely, 23420540 is an apocalyptic number.

3420540 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 3420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363904).

3420540 is an abundant number, since it is smaller than the sum of its proper divisors (7307268).

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

3420540 is a wasteful number, since it uses less digits than its factorization.

3420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3420540 is about 1849.4701944070. The cubic root of 3420540 is about 150.6716547108.

Adding to 3420540 its reverse (450243), we get a palindrome (3870783).

The spelling of 3420540 in words is "three million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 613 620 930 1116 1226 1395 1839 1860 2452 2790 3065 3678 5517 5580 6130 7356 9195 11034 12260 18390 19003 22068 27585 36780 38006 55170 57009 76012 95015 110340 114018 171027 190030 228036 285045 342054 380060 570090 684108 855135 1140180 1710270 3420540