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4146340 = 2251147401
BaseRepresentation
bin1111110100010010100100
321210122201011
433310102210
52030140330
6224512004
750146312
oct17642244
97718634
104146340
112382230
12147b604
13b22373
1479d0b2
1556d82a
hex3f44a4

4146340 has 48 divisors (see below), whose sum is σ = 9725184. Its totient is φ = 1472000.

The previous prime is 4146323. The next prime is 4146341. The reversal of 4146340 is 436414.

It is a happy number.

4146340 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 (22).

It is not an unprimeable number, because it can be changed into a prime (4146341) 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 15 ways as a sum of consecutive naturals, for example, 10140 + ... + 10540.

It is an arithmetic number, because the mean of its divisors is an integer number (202608).

Almost surely, 24146340 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 4146340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862592).

4146340 is an abundant number, since it is smaller than the sum of its proper divisors (5578844).

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

4146340 is a wasteful number, since it uses less digits than its factorization.

4146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4146340 is about 2036.2563689280. The cubic root of 4146340 is about 160.6528016899.

The spelling of 4146340 in words is "four million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 401 470 517 802 940 1034 1604 2005 2068 2585 4010 4411 5170 8020 8822 10340 17644 18847 22055 37694 44110 75388 88220 94235 188470 207317 376940 414634 829268 1036585 2073170 4146340