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4008342 = 231325967
BaseRepresentation
bin1111010010100110010110
321112122102010
433102212112
52011231332
6221525050
746033062
oct17224626
97478363
104008342
112298588
121413786
13aa4600
14764aa2
155429cc
hex3d2996

4008342 has 48 divisors (see below), whose sum is σ = 8959680. Its totient is φ = 1194336.

The previous prime is 4008317. The next prime is 4008349. The reversal of 4008342 is 2438004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59793 + ... + 59859.

It is an arithmetic number, because the mean of its divisors is an integer number (186660).

Almost surely, 24008342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479840).

4008342 is an abundant number, since it is smaller than the sum of its proper divisors (4951338).

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

4008342 is a wasteful number, since it uses less digits than its factorization.

4008342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4008342 is about 2002.0844138048. The cubic root of 4008342 is about 158.8503794032.

The spelling of 4008342 in words is "four million, eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 59 67 78 118 134 169 177 201 338 354 402 507 767 871 1014 1534 1742 2301 2613 3953 4602 5226 7906 9971 11323 11859 19942 22646 23718 29913 33969 51389 59826 67938 102778 154167 308334 668057 1336114 2004171 4008342