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8434338 = 2311472719
BaseRepresentation
bin100000001011…
…001010100010
3120212111201220
4200023022202
54124344323
6500435510
7131455623
oct40131242
916774656
108434338
114840930
1229a8b96
131994043
141197a4a
15b190e3
hex80b2a2

8434338 has 32 divisors (see below), whose sum is σ = 18800640. Its totient is φ = 2500560.

The previous prime is 8434337. The next prime is 8434351. The reversal of 8434338 is 8334348.

It is a super-2 number, since 2×84343382 = 142276114996488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8434299 and 8434308.

It is not an unprimeable number, because it can be changed into a prime (8434337) 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, 1743 + ... + 4461.

It is an arithmetic number, because the mean of its divisors is an integer number (587520).

Almost surely, 28434338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8434338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400320).

8434338 is an abundant number, since it is smaller than the sum of its proper divisors (10366302).

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

8434338 is a wasteful number, since it uses less digits than its factorization.

8434338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782.

The product of its digits is 27648, while the sum is 33.

The square root of 8434338 is about 2904.1931753931. The cubic root of 8434338 is about 203.5558869901. Note that the first 3 decimals are identical.

The spelling of 8434338 in words is "eight million, four hundred thirty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 2719 3102 5438 8157 16314 29909 59818 89727 127793 179454 255586 383379 766758 1405723 2811446 4217169 8434338