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442066356 = 22334319497
BaseRepresentation
bin11010010110010…
…110010110110100
31010210211022001000
4122112112112310
51401132110411
6111511003300
713645334124
oct3226262664
91123738030
10442066356
11207597aa6
12104069530
137077c834
14429d4c84
1528c22956
hex1a5965b4

442066356 has 48 divisors (see below), whose sum is σ = 1148878080. Its totient is φ = 146998080.

The previous prime is 442066321. The next prime is 442066363. The reversal of 442066356 is 653660244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442066356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41800 + ... + 51296.

It is an arithmetic number, because the mean of its divisors is an integer number (23934960).

Almost surely, 2442066356 is an apocalyptic number.

It is an amenable number.

442066356 is an abundant number, since it is smaller than the sum of its proper divisors (706811724).

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

442066356 is a wasteful number, since it uses less digits than its factorization.

442066356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 442066356 is about 21025.3740989310. The cubic root of 442066356 is about 761.7792776300.

The spelling of 442066356 in words is "four hundred forty-two million, sixty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 431 862 1293 1724 2586 3879 5172 7758 9497 11637 15516 18994 23274 28491 37988 46548 56982 85473 113964 170946 256419 341892 512838 1025676 4093207 8186414 12279621 16372828 24559242 36838863 49118484 73677726 110516589 147355452 221033178 442066356