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434723340 = 223529433577
BaseRepresentation
bin11001111010010…
…101101000001100
31010022000020022110
4121322111220030
51342242121330
6111045344020
713526041662
oct3172255014
91108006273
10434723340
11203432097
12101708010
136c0ab45c
1441a42c32
1528271db0
hex19e95a0c

434723340 has 96 divisors (see below), whose sum is σ = 1264294080. Its totient is φ = 111476736.

The previous prime is 434723321. The next prime is 434723347. The reversal of 434723340 is 43327434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 434723298 and 434723307.

It is not an unprimeable number, because it can be changed into a prime (434723347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753132 + ... + 753708.

It is an arithmetic number, because the mean of its divisors is an integer number (13169730).

Almost surely, 2434723340 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 434723340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632147040).

434723340 is an abundant number, since it is smaller than the sum of its proper divisors (829570740).

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

434723340 is a wasteful number, since it uses less digits than its factorization.

434723340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 30.

The square root of 434723340 is about 20850.0201438752. The cubic root of 434723340 is about 757.5378190226.

The spelling of 434723340 in words is "four hundred thirty-four million, seven hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 433 435 577 580 866 870 1154 1299 1731 1732 1740 2165 2308 2598 2885 3462 4330 5196 5770 6495 6924 8655 8660 11540 12557 12990 16733 17310 25114 25980 33466 34620 37671 50199 50228 62785 66932 75342 83665 100398 125570 150684 167330 188355 200796 249841 250995 251140 334660 376710 499682 501990 749523 753420 999364 1003980 1249205 1499046 2498410 2998092 3747615 4996820 7245389 7495230 14490778 14990460 21736167 28981556 36226945 43472334 72453890 86944668 108680835 144907780 217361670 434723340