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454145344 = 26172511663
BaseRepresentation
bin11011000100011…
…011010101000000
31011122112222021221
4123010123111000
51412230122334
6113021524424
714153112622
oct3304332500
91148488257
10454145344
11213398134
12108113714
137311b773
144445ac12
1529d0b8b4
hex1b11b540

454145344 has 56 divisors (see below), whose sum is σ = 958583808. Its totient is φ = 212736000.

The previous prime is 454145297. The next prime is 454145347. The reversal of 454145344 is 443541454.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454145347) 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, 272257 + ... + 273919.

It is an arithmetic number, because the mean of its divisors is an integer number (17117568).

Almost surely, 2454145344 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 454145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

454145344 is an abundant number, since it is smaller than the sum of its proper divisors (504438464).

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

454145344 is a wasteful number, since it uses less digits than its factorization.

454145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1933 counting only the distinct ones).

The product of its digits is 76800, while the sum is 34.

The square root of 454145344 is about 21310.6861456876. The cubic root of 454145344 is about 768.6552928562.

Adding to 454145344 its reverse (443541454), we get a palindrome (897686798).

The spelling of 454145344 in words is "four hundred fifty-four million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 251 272 502 544 1004 1088 1663 2008 3326 4016 4267 6652 8032 8534 13304 16064 17068 26608 28271 34136 53216 56542 68272 106432 113084 136544 226168 273088 417413 452336 834826 904672 1669652 1809344 3339304 6678608 7096021 13357216 14192042 26714432 28384084 56768168 113536336 227072672 454145344