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4000374 = 233719557
BaseRepresentation
bin1111010000101001110110
321112020111000
433100221312
52011002444
6221424130
746000620
oct17205166
97466430
104000374
1122925a4
12140b046
13aa0ab1
14761c10
15540469
hex3d0a76

4000374 has 64 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1080864.

The previous prime is 4000361. The next prime is 4000379. The reversal of 4000374 is 4730004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000379) 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, 6904 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 24000374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

4000374 is an abundant number, since it is smaller than the sum of its proper divisors (6713226).

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

4000374 is a wasteful number, since it uses less digits than its factorization.

4000374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4000374 is about 2000.0934978145. The cubic root of 4000374 is about 158.7450524426.

Adding to 4000374 its reverse (4730004), we get a palindrome (8730378).

The spelling of 4000374 in words is "four million, three hundred seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 557 798 1026 1114 1197 1671 2394 3342 3591 3899 5013 7182 7798 10026 10583 11697 15039 21166 23394 30078 31749 35091 63498 70182 74081 95247 105273 148162 190494 210546 222243 285741 444486 571482 666729 1333458 2000187 4000374