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3720340 = 2251341349
BaseRepresentation
bin1110001100010010010100
321000000100101
432030102110
51423022330
6211423444
743423321
oct16142224
97000311
103720340
112111168
1212b4b84
13a034b0
146cbb48
154d74ca
hex38c494

3720340 has 48 divisors (see below), whose sum is σ = 8643600. Its totient is φ = 1336320.

The previous prime is 3720337. The next prime is 3720349. The reversal of 3720340 is 430273.

3720340 = 4912 + 4922 + ... + 5052.

It can be written as a sum of positive squares in 8 ways, for example, as 636804 + 3083536 = 798^2 + 1756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10486 + ... + 10834.

It is an arithmetic number, because the mean of its divisors is an integer number (180075).

Almost surely, 23720340 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 3720340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321800).

3720340 is an abundant number, since it is smaller than the sum of its proper divisors (4923260).

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

3720340 is a wasteful number, since it uses less digits than its factorization.

3720340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 3720340 is about 1928.8182910788. The cubic root of 3720340 is about 154.9509383398.

The spelling of 3720340 in words is "three million, seven hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 349 410 533 698 820 1066 1396 1745 2132 2665 3490 4537 5330 6980 9074 10660 14309 18148 22685 28618 45370 57236 71545 90740 143090 186017 286180 372034 744068 930085 1860170 3720340