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454342064 = 241171103353
BaseRepresentation
bin11011000101001…
…011010110110000
31011122220222010212
4123011023112300
51412302421224
6113030043252
714154562301
oct3305132660
91148828125
10454342064
11213511a10
121081a9528
137318a177
14444ac7a8
1529d49d0e
hex1b14b5b0

454342064 has 80 divisors (see below), whose sum is σ = 986079744. Its totient is φ = 201062400.

The previous prime is 454342061. The next prime is 454342073. The reversal of 454342064 is 460243454.

It is a super-2 number, since 2×4543420642 = 412853422239560192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 454342064.

It is not an unprimeable number, because it can be changed into a prime (454342061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286912 + ... + 1287264.

Almost surely, 2454342064 is an apocalyptic number.

454342064 is a gapful number since it is divisible by the number (44) 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 454342064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493039872).

454342064 is an abundant number, since it is smaller than the sum of its proper divisors (531737680).

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

454342064 is a wasteful number, since it uses less digits than its factorization.

454342064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 454342064 is about 21315.3011707552. The cubic root of 454342064 is about 768.7662617663.

The spelling of 454342064 in words is "four hundred fifty-four million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 103 142 176 206 284 353 412 568 706 781 824 1133 1136 1412 1562 1648 2266 2824 3124 3883 4532 5648 6248 7313 7766 9064 12496 14626 15532 18128 25063 29252 31064 36359 50126 58504 62128 72718 80443 100252 117008 145436 160886 200504 275693 290872 321772 399949 401008 551386 581744 643544 799898 1102772 1287088 1599796 2205544 2581489 3199592 4411088 5162978 6399184 10325956 20651912 28396379 41303824 56792758 113585516 227171032 454342064