Search a number
-
+
3121104 = 243721327
BaseRepresentation
bin1011111001111111010000
312212120100110
423321333100
51244333404
6150521320
735346300
oct13717720
95776313
103121104
111841a28
121066240
1385380c
145b3600
15419b89
hex2f9fd0

3121104 has 60 divisors (see below), whose sum is σ = 9386304. Its totient is φ = 891072.

The previous prime is 3121091. The next prime is 3121109. The reversal of 3121104 is 4011213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1689 + ... + 3015.

Almost surely, 23121104 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 3121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693152).

3121104 is an abundant number, since it is smaller than the sum of its proper divisors (6265200).

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

3121104 is a wasteful number, since it uses less digits than its factorization.

3121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3121104 is about 1766.6646540869. The cubic root of 3121104 is about 146.1401044542.

Adding to 3121104 its reverse (4011213), we get a palindrome (7132317).

The spelling of 3121104 in words is "three million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1327 2352 2654 3981 5308 7962 9289 10616 15924 18578 21232 27867 31848 37156 55734 63696 65023 74312 111468 130046 148624 195069 222936 260092 390138 445872 520184 780276 1040368 1560552 3121104