[go: up one dir, main page]

Search a number
-
+
3375144 = 233246877
BaseRepresentation
bin1100111000000000101000
320100110211100
430320000220
51331001034
6200201400
740455033
oct14700050
96313740
103375144
1119a5883
121169260
13912336
1463c01a
1546a099
hex338028

3375144 has 24 divisors (see below), whose sum is σ = 9141210. Its totient is φ = 1125024.

The previous prime is 3375139. The next prime is 3375149. The reversal of 3375144 is 4415733.

It is an interprime number because it is at equal distance from previous prime (3375139) and next prime (3375149).

It can be written as a sum of positive squares in only one way, i.e., 3348900 + 26244 = 1830^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33751442 = 22783194041472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3375149) 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 5 ways as a sum of consecutive naturals, for example, 23367 + ... + 23510.

Almost surely, 23375144 is an apocalyptic number.

It is an amenable number.

3375144 is an abundant number, since it is smaller than the sum of its proper divisors (5766066).

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

3375144 is a wasteful number, since it uses less digits than its factorization.

3375144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46889 (or 46882 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 3375144 is about 1837.1564985052. The cubic root of 3375144 is about 150.0021333030.

The spelling of 3375144 in words is "three million, three hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 46877 93754 140631 187508 281262 375016 421893 562524 843786 1125048 1687572 3375144