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3695340 = 2235112509
BaseRepresentation
bin1110000110001011101100
320221202001110
432012023230
51421222330
6211112020
743260405
oct16061354
96852043
103695340
1120a4400
1212a2610
139c4cbc
146c29ac
154cedb0
hex3862ec

3695340 has 72 divisors (see below), whose sum is σ = 11395440. Its totient is φ = 894080.

The previous prime is 3695339. The next prime is 3695353. The reversal of 3695340 is 435963.

It is a happy number.

3695340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3695298 and 3695307.

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, 7006 + ... + 7514.

It is an arithmetic number, because the mean of its divisors is an integer number (158270).

Almost surely, 23695340 is an apocalyptic number.

3695340 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 3695340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697720).

3695340 is an abundant number, since it is smaller than the sum of its proper divisors (7700100).

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

3695340 is a wasteful number, since it uses less digits than its factorization.

3695340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3695340 is about 1922.3267152074. The cubic root of 3695340 is about 154.6030773905.

The spelling of 3695340 in words is "three million, six hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 509 605 660 726 1018 1210 1452 1527 1815 2036 2420 2545 3054 3630 5090 5599 6108 7260 7635 10180 11198 15270 16797 22396 27995 30540 33594 55990 61589 67188 83985 111980 123178 167970 184767 246356 307945 335940 369534 615890 739068 923835 1231780 1847670 3695340