Search a number
-
+
4345376 = 257191021
BaseRepresentation
bin10000100100111000100000
322011202201212
4100210320200
52103023001
6233045252
751635510
oct20447040
98152655
104345376
1124a8822
121556828
13b91b39
14811840
155ac7bb
hex424e20

4345376 has 48 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 1762560.

The previous prime is 4345373. The next prime is 4345381. The reversal of 4345376 is 6735434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4 + 39 + 410 + 55 + 313 + 72 + 68 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4345373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3746 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 24345376 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 4345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

4345376 is an abundant number, since it is smaller than the sum of its proper divisors (5956384).

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

4345376 is a wasteful number, since it uses less digits than its factorization.

4345376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1049 counting only the distinct ones).

The product of its digits is 30240, while the sum is 32.

The square root of 4345376 is about 2084.5565475659. The cubic root of 4345376 is about 163.1833284264.

The spelling of 4345376 in words is "four million, three hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1021 1064 2042 2128 4084 4256 7147 8168 14294 16336 19399 28588 32672 38798 57176 77596 114352 135793 155192 228704 271586 310384 543172 620768 1086344 2172688 4345376