Search a number
-
+
2342928 = 243719367
BaseRepresentation
bin1000111100000000010000
311102000220010
420330000100
51044433203
6122114520
725625460
oct10740020
94360803
102342928
111360305
1294ba40
13640563
1444dba0
15314303
hex23c010

2342928 has 80 divisors (see below), whose sum is σ = 7301120. Its totient is φ = 632448.

The previous prime is 2342869. The next prime is 2342933. The reversal of 2342928 is 8292432.

It is a super-2 number, since 2×23429282 = 10978623226368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2342895 and 2342904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6201 + ... + 6567.

It is an arithmetic number, because the mean of its divisors is an integer number (91264).

22342928 is an apocalyptic number.

2342928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650560).

2342928 is an abundant number, since it is smaller than the sum of its proper divisors (4958192).

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

2342928 is a wasteful number, since it uses less digits than its factorization.

2342928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2342928 is about 1530.6626016206. The cubic root of 2342928 is about 132.8167903481.

The spelling of 2342928 in words is "two million, three hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 367 399 456 532 734 798 912 1064 1101 1468 1596 2128 2202 2569 2936 3192 4404 5138 5872 6384 6973 7707 8808 10276 13946 15414 17616 20552 20919 27892 30828 41104 41838 48811 55784 61656 83676 97622 111568 123312 146433 167352 195244 292866 334704 390488 585732 780976 1171464 2342928