Search a number
-
+
454314740 = 225118923203
BaseRepresentation
bin11011000101000…
…100101011110100
31011122212120122212
4123011010223310
51412301032430
6113025312552
714154416525
oct3305045364
91148776585
10454314740
112134a3430
12108195758
137317a8b9
14444a284c
1529d41b95
hex1b144af4

454314740 has 48 divisors (see below), whose sum is σ = 1052533440. Its totient is φ = 163342080.

The previous prime is 454314733. The next prime is 454314787. The reversal of 454314740 is 47413454.

It is a junction number, because it is equal to n+sod(n) for n = 454314697 and 454314706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7979 + ... + 31181.

It is an arithmetic number, because the mean of its divisors is an integer number (21927780).

Almost surely, 2454314740 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 454314740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526266720).

454314740 is an abundant number, since it is smaller than the sum of its proper divisors (598218700).

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

454314740 is a wasteful number, since it uses less digits than its factorization.

454314740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23312 (or 23310 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 454314740 is about 21314.6602131022. The cubic root of 454314740 is about 768.7508503307.

The spelling of 454314740 in words is "four hundred fifty-four million, three hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 23203 46406 92812 116015 232030 255233 464060 510466 1020932 1276165 2065067 2552330 4130134 5104660 8260268 10325335 20650670 22715737 41301340 45431474 90862948 113578685 227157370 454314740