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3458268 = 2233114171
BaseRepresentation
bin1101001100010011011100
320111200212000
431030103130
51341131033
6202042300
741252262
oct15142334
96450760
103458268
111a52280
1211a9390
13941118
14660432
15484a13
hex34c4dc

3458268 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1008000.

The previous prime is 3458261. The next prime is 3458281. The reversal of 3458268 is 8628543.

3458268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (46080) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48673 + ... + 48743.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23458268 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 3458268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3458268 is an abundant number, since it is smaller than the sum of its proper divisors (6702372).

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

3458268 is a wasteful number, since it uses less digits than its factorization.

3458268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3458268 is about 1859.6419010121. The cubic root of 3458268 is about 151.2235916829.

The spelling of 3458268 in words is "three million, four hundred fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 71 82 99 108 123 132 142 164 198 213 246 284 297 369 396 426 451 492 594 639 738 781 852 902 1107 1188 1278 1353 1476 1562 1804 1917 2214 2343 2556 2706 2911 3124 3834 4059 4428 4686 5412 5822 7029 7668 8118 8733 9372 11644 12177 14058 16236 17466 21087 24354 26199 28116 32021 34932 42174 48708 52398 64042 78597 84348 96063 104796 128084 157194 192126 288189 314388 384252 576378 864567 1152756 1729134 3458268