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441706830 = 235291134493
BaseRepresentation
bin11010010100111…
…110100101001110
31010210011000212020
4122110332211032
51401034104310
6111455151010
713642306005
oct3224764516
91123130766
10441706830
11207371974
12103b15466
1370684cb6
144293dc3c
1528ba1170
hex1a53e94e

441706830 has 64 divisors (see below), whose sum is σ = 1106602560. Its totient is φ = 112695296.

The previous prime is 441706829. The next prime is 441706841. The reversal of 441706830 is 38607144.

It is a junction number, because it is equal to n+sod(n) for n = 441706791 and 441706800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96064 + ... + 100556.

It is an arithmetic number, because the mean of its divisors is an integer number (17290665).

Almost surely, 2441706830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441706830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553301280).

441706830 is an abundant number, since it is smaller than the sum of its proper divisors (664895730).

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

441706830 is a wasteful number, since it uses less digits than its factorization.

441706830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 441706830 is about 21016.8225476640. The cubic root of 441706830 is about 761.5727070298.

The spelling of 441706830 in words is "four hundred forty-one million, seven hundred six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 290 339 435 565 678 870 1130 1695 3277 3390 4493 6554 8986 9831 13479 16385 19662 22465 26958 32770 44930 49155 67395 98310 130297 134790 260594 390891 507709 651485 781782 1015418 1302970 1523127 1954455 2538545 3046254 3908910 5077090 7615635 14723561 15231270 29447122 44170683 73617805 88341366 147235610 220853415 441706830