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4142394 = 233411871
BaseRepresentation
bin1111110011010100111010
321210110022000
433303110322
52030024034
6224441430
750131644
oct17632472
97713260
104142394
11237a273
121479276
13b20629
1479b894
1556c599
hex3f353a

4142394 has 32 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1346400.

The previous prime is 4142393. The next prime is 4142401. The reversal of 4142394 is 4932414.

It is a super-3 number, since 3×41423943 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4142393) 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, 1279 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 24142394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

4142394 is an abundant number, since it is smaller than the sum of its proper divisors (5292486).

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

4142394 is a wasteful number, since it uses less digits than its factorization.

4142394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4142394 is about 2035.2872033205. The cubic root of 4142394 is about 160.6018220176.

The spelling of 4142394 in words is "four million, one hundred forty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1871 2214 3742 5613 11226 16839 33678 50517 76711 101034 153422 230133 460266 690399 1380798 2071197 4142394