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3428740 = 2257191289
BaseRepresentation
bin1101000101000110000100
320110012100101
431011012010
51334204430
6201253444
741100220
oct15050604
96405311
103428740
111a32077
121194284
13930853
14653780
1547adca
hex345184

3428740 has 48 divisors (see below), whose sum is σ = 8668800. Its totient is φ = 1112832.

The previous prime is 3428717. The next prime is 3428743. The reversal of 3428740 is 478243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3428699 and 3428708.

It is not an unprimeable number, because it can be changed into a prime (3428743) 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, 2016 + ... + 3304.

It is an arithmetic number, because the mean of its divisors is an integer number (180600).

Almost surely, 23428740 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 3428740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334400).

3428740 is an abundant number, since it is smaller than the sum of its proper divisors (5240060).

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

3428740 is a wasteful number, since it uses less digits than its factorization.

3428740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 3428740 is about 1851.6857184738. The cubic root of 3428740 is about 150.7919594575.

The spelling of 3428740 in words is "three million, four hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1289 1330 2578 2660 5156 6445 9023 12890 18046 24491 25780 36092 45115 48982 90230 97964 122455 171437 180460 244910 342874 489820 685748 857185 1714370 3428740