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3474840 = 2335231259
BaseRepresentation
bin1101010000010110011000
320112112120210
431100112120
51342143330
6202251120
741351505
oct15202630
96475523
103474840
111a63776
1211b6aa0
13948825
146664ac
154898b0
hex350598

3474840 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 885632.

The previous prime is 3474833. The next prime is 3474841. The reversal of 3474840 is 484743.

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 = 3474798 and 3474807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474841) 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, 2131 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 23474840 is an apocalyptic number.

3474840 is a gapful number since it is divisible by the number (30) 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 3474840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3474840 is an abundant number, since it is smaller than the sum of its proper divisors (7411560).

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

3474840 is a wasteful number, since it uses less digits than its factorization.

3474840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3474840 is about 1864.0922723943. The cubic root of 3474840 is about 151.4647610532.

The spelling of 3474840 in words is "three million, four hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1259 1380 2518 2760 3777 5036 6295 7554 10072 12590 15108 18885 25180 28957 30216 37770 50360 57914 75540 86871 115828 144785 151080 173742 231656 289570 347484 434355 579140 694968 868710 1158280 1737420 3474840