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8342406 = 2331947173
BaseRepresentation
bin11111110100101110000110
3120200211122000
4133310232012
54113424111
6454450130
7130623612
oct37645606
916624560
108342406
114788856
122963946
131961247
141172342
15aebc56
hex7f4b86

8342406 has 64 divisors (see below), whose sum is σ = 20044800. Its totient is φ = 2563488.

The previous prime is 8342381. The next prime is 8342407. The reversal of 8342406 is 6042438.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8342406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48136 + ... + 48308.

It is an arithmetic number, because the mean of its divisors is an integer number (313200).

Almost surely, 28342406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022400).

8342406 is an abundant number, since it is smaller than the sum of its proper divisors (11702394).

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

8342406 is a wasteful number, since it uses less digits than its factorization.

8342406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8342406 is about 2888.3223504311. The cubic root of 8342406 is about 202.8136155559.

Subtracting from 8342406 its reverse (6042438), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 834 and 2406, that added together give a triangular number (3240 = T80).

The spelling of 8342406 in words is "eight million, three hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 47 54 57 94 114 141 171 173 282 342 346 423 513 519 846 893 1026 1038 1269 1557 1786 2538 2679 3114 3287 4671 5358 6574 8037 8131 9342 9861 16074 16262 19722 24111 24393 29583 48222 48786 59166 73179 88749 146358 154489 177498 219537 308978 439074 463467 926934 1390401 2780802 4171203 8342406