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2834940 = 2235371277
BaseRepresentation
bin1010110100000111111100
312100000210210
422310013330
51211204230
6140432420
733045063
oct12640774
95300723
102834940
111666a29
12b48710
137834a4
1453b1da
153aeeb0
hex2b41fc

2834940 has 48 divisors (see below), whose sum is σ = 8158752. Its totient is φ = 734976.

The previous prime is 2834939. The next prime is 2834983. The reversal of 2834940 is 494382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2834898 and 2834907.

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, 1582 + ... + 2858.

It is an arithmetic number, because the mean of its divisors is an integer number (169974).

22834940 is an apocalyptic number.

2834940 is a gapful number since it is divisible by the number (20) 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 2834940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079376).

2834940 is an abundant number, since it is smaller than the sum of its proper divisors (5323812).

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

2834940 is a wasteful number, since it uses less digits than its factorization.

2834940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

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

The square root of 2834940 is about 1683.7280065379. The cubic root of 2834940 is about 141.5298209487.

The spelling of 2834940 in words is "two million, eight hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1277 2220 2554 3831 5108 6385 7662 12770 15324 19155 25540 38310 47249 76620 94498 141747 188996 236245 283494 472490 566988 708735 944980 1417470 2834940