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442778934 = 231323246811
BaseRepresentation
bin11010011001000…
…100010100110110
31010212011111111210
4122121010110312
51401322411214
6111534142250
713654362453
oct3231042466
91125144453
10442778934
11207a34404
12104351986
137096bc90
1442b3c82a
1528d13b59
hex1a644536

442778934 has 32 divisors (see below), whose sum is σ = 995145984. Its totient is φ = 130315680.

The previous prime is 442778927. The next prime is 442778951. The reversal of 442778934 is 439877244.

It is a super-4 number, since 4×4427789344 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121612 + ... + 125199.

It is an arithmetic number, because the mean of its divisors is an integer number (31098312).

Almost surely, 2442778934 is an apocalyptic number.

442778934 is an abundant number, since it is smaller than the sum of its proper divisors (552367050).

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

442778934 is a wasteful number, since it uses less digits than its factorization.

442778934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246852.

The product of its digits is 1354752, while the sum is 48.

The square root of 442778934 is about 21042.3129432104. The cubic root of 442778934 is about 762.1883683634.

It can be divided in two parts, 442 and 778934, that added together give a triangular number (779376 = T1248).

The spelling of 442778934 in words is "four hundred forty-two million, seven hundred seventy-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 246811 493622 740433 1480866 3208543 5676653 6417086 9625629 11353306 17029959 19251258 34059918 73796489 147592978 221389467 442778934