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3945700 = 22521117211
BaseRepresentation
bin1111000011010011100100
321102110111001
433003103210
52002230300
6220323044
745352333
oct17032344
97373431
103945700
112255510
1213a3484
13a81c45
14749d1a
1552e16a
hex3c34e4

3945700 has 72 divisors (see below), whose sum is σ = 9936864. Its totient is φ = 1344000.

The previous prime is 3945677. The next prime is 3945701. The reversal of 3945700 is 75493.

3945700 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 (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3945701) by changing a digit.

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, 18595 + ... + 18805.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

Almost surely, 23945700 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 3945700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968432).

3945700 is an abundant number, since it is smaller than the sum of its proper divisors (5991164).

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

3945700 is a wasteful number, since it uses less digits than its factorization.

3945700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3945700 is about 1986.3786144640. The cubic root of 3945700 is about 158.0185311812.

The spelling of 3945700 in words is "three million, nine hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 211 220 275 340 374 422 425 550 748 844 850 935 1055 1100 1700 1870 2110 2321 3587 3740 4220 4642 4675 5275 7174 9284 9350 10550 11605 14348 17935 18700 21100 23210 35870 39457 46420 58025 71740 78914 89675 116050 157828 179350 197285 232100 358700 394570 789140 986425 1972850 3945700