Search a number
-
+
3945630 = 2351367151
BaseRepresentation
bin1111000011010010011110
321102110101110
433003102132
52002230010
6220322450
745352203
oct17032236
97373343
103945630
112255457
1213a3426
13a81bc0
14749caa
1552e120
hex3c349e

3945630 has 64 divisors (see below), whose sum is σ = 10418688. Its totient is φ = 950400.

The previous prime is 3945607. The next prime is 3945631. The reversal of 3945630 is 365493.

3945630 = T199 + T200 + ... + T315.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26055 + ... + 26205.

It is an arithmetic number, because the mean of its divisors is an integer number (162792).

Almost surely, 23945630 is an apocalyptic number.

3945630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3945630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209344).

3945630 is an abundant number, since it is smaller than the sum of its proper divisors (6473058).

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

3945630 is a wasteful number, since it uses less digits than its factorization.

3945630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241.

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

The square root of 3945630 is about 1986.3609943814. The cubic root of 3945630 is about 158.0175967156.

The spelling of 3945630 in words is "three million, nine hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 151 195 201 302 335 390 402 453 670 755 871 906 1005 1510 1742 1963 2010 2265 2613 3926 4355 4530 5226 5889 8710 9815 10117 11778 13065 19630 20234 26130 29445 30351 50585 58890 60702 101170 131521 151755 263042 303510 394563 657605 789126 1315210 1972815 3945630