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3438468 = 22321119457
BaseRepresentation
bin1101000111011110000100
320110200200200
431013132010
51340012333
6201410500
741140455
oct15073604
96420620
103438468
111a39410
121199a30
139350c7
1465712c
1547dc13
hex347784

3438468 has 72 divisors (see below), whose sum is σ = 10002720. Its totient is φ = 984960.

The previous prime is 3438451. The next prime is 3438469. The reversal of 3438468 is 8648343.

3438468 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).

It is not an unprimeable number, because it can be changed into a prime (3438469) 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 23 ways as a sum of consecutive naturals, for example, 7296 + ... + 7752.

Almost surely, 23438468 is an apocalyptic number.

3438468 is a gapful number since it is divisible by the number (38) 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 3438468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001360).

3438468 is an abundant number, since it is smaller than the sum of its proper divisors (6564252).

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

3438468 is a wasteful number, since it uses less digits than its factorization.

3438468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 492 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3438468 is about 1854.3106535853. The cubic root of 3438468 is about 150.9344334729.

The spelling of 3438468 in words is "three million, four hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 457 627 684 836 914 1254 1371 1828 1881 2508 2742 3762 4113 5027 5484 7524 8226 8683 10054 15081 16452 17366 20108 26049 30162 34732 45243 52098 60324 78147 90486 95513 104196 156294 180972 191026 286539 312588 382052 573078 859617 1146156 1719234 3438468