Search a number
-
+
874306452 = 223238935593
BaseRepresentation
bin110100000111001…
…101101110010100
32020221011100222110
4310013031232110
53242310301302
6222431231020
730444324255
oct6407155624
92227140873
10874306452
11409583418
12204978470
1310c19b8c6
148418cb2c
1551b53b6c
hex341cdb94

874306452 has 48 divisors (see below), whose sum is σ = 2152725120. Its totient is φ = 275624448.

The previous prime is 874306441. The next prime is 874306453. The reversal of 874306452 is 254603478.

It is a happy number.

874306452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 874306452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874306453) 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, 6768 + ... + 42360.

It is an arithmetic number, because the mean of its divisors is an integer number (44848440).

Almost surely, 2874306452 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 874306452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076362560).

874306452 is an abundant number, since it is smaller than the sum of its proper divisors (1278418668).

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

874306452 is a wasteful number, since it uses less digits than its factorization.

874306452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35712 (or 35710 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 874306452 is about 29568.6734907063. The cubic root of 874306452 is about 956.2128179998.

The spelling of 874306452 in words is "eight hundred seventy-four million, three hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 178 267 276 356 534 1068 2047 4094 6141 8188 12282 24564 35593 71186 106779 142372 213558 427116 818639 1637278 2455917 3167777 3274556 4911834 6335554 9503331 9823668 12671108 19006662 38013324 72858871 145717742 218576613 291435484 437153226 874306452