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3807342 = 2327114167
BaseRepresentation
bin1110100001100001101110
321011102200200
432201201232
51433313332
6213334330
744235060
oct16414156
97142620
103807342
112170570
1213373a6
13a33c86
14711730
1550317c
hex3a186e

3807342 has 96 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 950400.

The previous prime is 3807341. The next prime is 3807359. The reversal of 3807342 is 2437083.

3807342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807341) 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 47 ways as a sum of consecutive naturals, for example, 56793 + ... + 56859.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

Almost surely, 23807342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

3807342 is an abundant number, since it is smaller than the sum of its proper divisors (6885522).

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

3807342 is a wasteful number, since it uses less digits than its factorization.

3807342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3807342 is about 1951.2411434777. The cubic root of 3807342 is about 156.1495114937.

The spelling of 3807342 in words is "three million, eight hundred seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 67 77 82 99 123 126 134 154 198 201 231 246 287 369 402 451 462 469 574 603 693 737 738 861 902 938 1206 1353 1386 1407 1474 1722 2211 2583 2706 2747 2814 3157 4059 4221 4422 5159 5166 5494 6314 6633 8118 8241 8442 9471 10318 13266 15477 16482 18942 19229 24723 28413 30217 30954 38458 46431 49446 56826 57687 60434 90651 92862 115374 173061 181302 211519 271953 346122 423038 543906 634557 1269114 1903671 3807342