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447311430 = 23356779313
BaseRepresentation
bin11010101010010…
…110111001000110
31011011200202221000
4122222112321012
51404002431210
6112215234130
714041040646
oct3252267106
91134622830
10447311430
1120a54a775
12105978946
1371898027
144359c526
152940bac0
hex1aa96e46

447311430 has 128 divisors (see below), whose sum is σ = 1229875200. Its totient is φ = 115644672.

The previous prime is 447311287. The next prime is 447311441. The reversal of 447311430 is 34113744.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 447311394 and 447311403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1428954 + ... + 1429266.

It is an arithmetic number, because the mean of its divisors is an integer number (9608400).

Almost surely, 2447311430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614937600).

447311430 is an abundant number, since it is smaller than the sum of its proper divisors (782563770).

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

447311430 is a wasteful number, since it uses less digits than its factorization.

447311430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 447311430 is about 21149.7382962532. The cubic root of 447311430 is about 764.7802521464.

The spelling of 447311430 in words is "four hundred forty-seven million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 79 90 134 135 158 201 237 270 313 335 395 402 474 603 626 670 711 790 939 1005 1185 1206 1422 1565 1809 1878 2010 2133 2370 2817 3015 3130 3555 3618 4266 4695 5293 5634 6030 7110 8451 9045 9390 10586 10665 14085 15879 16902 18090 20971 21330 24727 26465 28170 31758 41942 42255 47637 49454 52930 62913 74181 79395 84510 95274 104855 123635 125826 142911 148362 158790 188739 209710 222543 238185 247270 285822 314565 370905 377478 445086 476370 566217 629130 667629 714555 741810 943695 1112715 1132434 1335258 1429110 1656709 1887390 2225430 2831085 3313418 3338145 4970127 5662170 6676290 8283545 9940254 14910381 16567090 24850635 29820762 44731143 49701270 74551905 89462286 149103810 223655715 447311430