Search a number
-
+
376068 = 223711237
BaseRepresentation
bin1011011110100000100
3201002212110
41123310010
544013233
612021020
73124260
oct1336404
9632773
10376068
11237600
12161770
13102234
149b0a0
1576663
hex5bd04

376068 has 72 divisors (see below), whose sum is σ = 1132096. Its totient is φ = 95040.

The previous prime is 376063. The next prime is 376081. The reversal of 376068 is 860673.

376068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376063) by changing a digit.

376068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10146 + ... + 10182.

2376068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566048).

376068 is an abundant number, since it is smaller than the sum of its proper divisors (756028).

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

376068 is a wasteful number, since it uses less digits than its factorization.

376068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 376068 is about 613.2438340497. The cubic root of 376068 is about 72.1808724074.

It can be divided in two parts, 3760 and 68, that added together give a triangular number (3828 = T87).

The spelling of 376068 in words is "three hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 121 132 148 154 222 231 242 259 308 363 407 444 462 484 518 726 777 814 847 924 1036 1221 1452 1554 1628 1694 2442 2541 2849 3108 3388 4477 4884 5082 5698 8547 8954 10164 11396 13431 17094 17908 26862 31339 34188 53724 62678 94017 125356 188034 376068