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434666364 = 223112299357
BaseRepresentation
bin11001111010000…
…111101101111100
31010021220100011020
4121322013231330
51342233310424
6111044224140
713525413606
oct3172075574
91107810136
10434666364
112033a3300
1210169b050
136c08b542
1441a2a176
1528260079
hex19e87b7c

434666364 has 36 divisors (see below), whose sum is σ = 1114809192. Its totient is φ = 131716640.

The previous prime is 434666333. The next prime is 434666369. The reversal of 434666364 is 463666434.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434666369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148227 + ... + 151130.

It is an arithmetic number, because the mean of its divisors is an integer number (30966922).

Almost surely, 2434666364 is an apocalyptic number.

434666364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434666364 is an abundant number, since it is smaller than the sum of its proper divisors (680142828).

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

434666364 is a wasteful number, since it uses less digits than its factorization.

434666364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299386 (or 299373 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 434666364 is about 20848.6537694883. The cubic root of 434666364 is about 757.5047226012.

The spelling of 434666364 in words is "four hundred thirty-four million, six hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 299357 598714 898071 1197428 1796142 3292927 3592284 6585854 9878781 13171708 19757562 36222197 39515124 72444394 108666591 144888788 217333182 434666364