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3428136 = 233359269
BaseRepresentation
bin1101000100111100101000
320110011112000
431010330220
51334200021
6201251000
741065365
oct15047450
96404460
103428136
111a31678
121193a60
139304aa
1465346c
1547ab26
hex344f28

3428136 has 64 divisors (see below), whose sum is σ = 9720000. Its totient is φ = 1119168.

The previous prime is 3428099. The next prime is 3428137. The reversal of 3428136 is 6318243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3428137) 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, 12610 + ... + 12878.

It is an arithmetic number, because the mean of its divisors is an integer number (151875).

Almost surely, 23428136 is an apocalyptic number.

3428136 is a gapful number since it is divisible by the number (36) 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 3428136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860000).

3428136 is an abundant number, since it is smaller than the sum of its proper divisors (6291864).

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

3428136 is a wasteful number, since it uses less digits than its factorization.

3428136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3428136 is about 1851.5226166591. The cubic root of 3428136 is about 150.7831045339.

The spelling of 3428136 in words is "three million, four hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 269 354 472 531 538 708 807 1062 1076 1416 1593 1614 2124 2152 2421 3186 3228 4248 4842 6372 6456 7263 9684 12744 14526 15871 19368 29052 31742 47613 58104 63484 95226 126968 142839 190452 285678 380904 428517 571356 857034 1142712 1714068 3428136