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2306124 = 2233131163
BaseRepresentation
bin1000110011000001001100
311100011102000
420303001030
51042243444
6121232300
725413252
oct10630114
94304360
102306124
111335697
12932690
13629892
144405d2
15308469
hex23304c

2306124 has 48 divisors (see below), whose sum is σ = 6061440. Its totient is φ = 758160.

The previous prime is 2306123. The next prime is 2306131. The reversal of 2306124 is 4216032.

2306124 = T80 + T81 + ... + T242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2306097 and 2306106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14067 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (126280).

22306124 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 2306124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030720).

2306124 is an abundant number, since it is smaller than the sum of its proper divisors (3755316).

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

2306124 is a wasteful number, since it uses less digits than its factorization.

2306124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2306124 is about 1518.5927696390. The cubic root of 2306124 is about 132.1176636795.

The spelling of 2306124 in words is "two million, three hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 163 262 326 393 489 524 652 786 978 1179 1467 1572 1956 2358 2934 3537 4401 4716 5868 7074 8802 14148 17604 21353 42706 64059 85412 128118 192177 256236 384354 576531 768708 1153062 2306124