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454430000 = 2454291567
BaseRepresentation
bin11011000101100…
…000110100110000
31011200002102202202
4123011200310300
51412313230000
6113032002332
714155406543
oct3305406460
91150072682
10454430000
11213571a92
121082303a8
13731bb1bb
14444d285a
1529d65dd5
hex1b160d30

454430000 has 100 divisors (see below), whose sum is σ = 1138885440. Its totient is φ = 175392000.

The previous prime is 454429949. The next prime is 454430027. The reversal of 454430000 is 34454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289217 + ... + 290783.

Almost surely, 2454430000 is an apocalyptic number.

454430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569442720).

454430000 is an abundant number, since it is smaller than the sum of its proper divisors (684455440).

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

454430000 is a wasteful number, since it uses less digits than its factorization.

454430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 454430000 is about 21317.3638145058. The cubic root of 454430000 is about 768.8158557282.

Adding to 454430000 its reverse (34454), we get a palindrome (454464454).

The spelling of 454430000 in words is "four hundred fifty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 1567 2000 2320 2500 2900 3134 3625 5000 5800 6268 7250 7835 10000 11600 12536 14500 15670 18125 25072 29000 31340 36250 39175 45443 58000 62680 72500 78350 90886 125360 145000 156700 181772 195875 227215 290000 313400 363544 391750 454430 626800 727088 783500 908860 979375 1136075 1567000 1817720 1958750 2272150 3134000 3635440 3917500 4544300 5680375 7835000 9088600 11360750 15670000 18177200 22721500 28401875 45443000 56803750 90886000 113607500 227215000 454430000