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447234440 = 23529173833
BaseRepresentation
bin11010101010000…
…100000110001000
31011011112212022112
4122222010012020
51403443000230
6112213441452
714040300332
oct3252040610
91134485275
10447234440
1120a4a7944
12105940288
137186bc83
144357c452
15293e3d95
hex1aa84188

447234440 has 32 divisors (see below), whose sum is σ = 1006885080. Its totient is φ = 178785792.

The previous prime is 447234401. The next prime is 447234449. The reversal of 447234440 is 44432744.

It can be written as a sum of positive squares in 4 ways, for example, as 421973764 + 25260676 = 20542^2 + 5026^2 .

It is a super-2 number, since 2×4472344402 = 400037288644227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 447234397 and 447234406.

It is not an unprimeable number, because it can be changed into a prime (447234449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114764 + ... + 118596.

Almost surely, 2447234440 is an apocalyptic number.

447234440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447234440 is an abundant number, since it is smaller than the sum of its proper divisors (559650640).

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

447234440 is a wasteful number, since it uses less digits than its factorization.

447234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 32.

The square root of 447234440 is about 21147.9181008439. The cubic root of 447234440 is about 764.7363723450.

The spelling of 447234440 in words is "four hundred forty-seven million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2917 3833 5834 7666 11668 14585 15332 19165 23336 29170 30664 38330 58340 76660 116680 153320 11180861 22361722 44723444 55904305 89446888 111808610 223617220 447234440