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454300040 = 235311033557
BaseRepresentation
bin11011000101000…
…001000110001000
31011122211211111102
4123011001012020
51412300100130
6113025120532
714154325625
oct3305010610
91148754442
10454300040
11213493387
12108189148
1373173cbc
144449b34c
1529d3c645
hex1b141188

454300040 has 64 divisors (see below), whose sum is σ = 1065692160. Its totient is φ = 174101760.

The previous prime is 454300039. The next prime is 454300081. The reversal of 454300040 is 40003454.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 454299985 and 454300021.

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, 125942 + ... + 129498.

It is an arithmetic number, because the mean of its divisors is an integer number (16651440).

Almost surely, 2454300040 is an apocalyptic number.

454300040 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 454300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532846080).

454300040 is an abundant number, since it is smaller than the sum of its proper divisors (611392120).

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

454300040 is a wasteful number, since it uses less digits than its factorization.

454300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3698 counting only the distinct ones).

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

The square root of 454300040 is about 21314.3153772295. The cubic root of 454300040 is about 768.7425588986.

Adding to 454300040 its reverse (40003454), we get a palindrome (494303494).

The spelling of 454300040 in words is "four hundred fifty-four million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 103 124 155 206 248 310 412 515 620 824 1030 1240 2060 3193 3557 4120 6386 7114 12772 14228 15965 17785 25544 28456 31930 35570 63860 71140 110267 127720 142280 220534 366371 441068 551335 732742 882136 1102670 1465484 1831855 2205340 2930968 3663710 4410680 7327420 11357501 14654840 22715002 45430004 56787505 90860008 113575010 227150020 454300040