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3428910 = 2325311229
BaseRepresentation
bin1101000101001000101110
320110012120200
431011020232
51334211120
6201254330
741100552
oct15051056
96405520
103428910
111a32211
1211943a6
13930954
14653862
1547ae90
hex34522e

3428910 has 48 divisors (see below), whose sum is σ = 9210240. Its totient is φ = 884160.

The previous prime is 3428899. The next prime is 3428921. The reversal of 3428910 is 198243.

It is an interprime number because it is at equal distance from previous prime (3428899) and next prime (3428921).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176 + ... + 3404.

It is an arithmetic number, because the mean of its divisors is an integer number (191880).

Almost surely, 23428910 is an apocalyptic number.

3428910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605120).

3428910 is an abundant number, since it is smaller than the sum of its proper divisors (5781330).

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

3428910 is a wasteful number, since it uses less digits than its factorization.

3428910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3428910 is about 1851.7316220230. The cubic root of 3428910 is about 150.7944515498.

The spelling of 3428910 in words is "three million, four hundred twenty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1229 1395 2458 2790 3687 6145 7374 11061 12290 18435 22122 36870 38099 55305 76198 110610 114297 190495 228594 342891 380990 571485 685782 1142970 1714455 3428910