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454345408 = 26111394643
BaseRepresentation
bin11011000101001…
…100001011000000
31011122221010201201
4123011030023000
51412303023113
6113030110544
714154605116
oct3305141300
91148833651
10454345408
11213514480
121081ab454
137318b84a
14444adab6
1529d4acdd
hex1b14c2c0

454345408 has 56 divisors (see below), whose sum is σ = 990843840. Its totient is φ = 204990720.

The previous prime is 454345399. The next prime is 454345471. The reversal of 454345408 is 804543454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95535 + ... + 100177.

It is an arithmetic number, because the mean of its divisors is an integer number (17693640).

Almost surely, 2454345408 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 454345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495421920).

454345408 is an abundant number, since it is smaller than the sum of its proper divisors (536498432).

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

454345408 is a wasteful number, since it uses less digits than its factorization.

454345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The square root of 454345408 is about 21315.3796119140. The cubic root of 454345408 is about 768.7681478255.

The spelling of 454345408 in words is "four hundred fifty-four million, three hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 139 176 278 352 556 704 1112 1529 2224 3058 4448 4643 6116 8896 9286 12232 18572 24464 37144 48928 51073 74288 97856 102146 148576 204292 297152 408584 645377 817168 1290754 1634336 2581508 3268672 5163016 7099147 10326032 14198294 20652064 28396588 41304128 56793176 113586352 227172704 454345408