Search a number
-
+
454030864 = 24727612
BaseRepresentation
bin11011000011111…
…111011000010000
31011122100011020221
4123003333120100
51412212441424
6113015242424
714152125100
oct3303773020
91148304227
10454030864
1121331a121
12108079414
13730ab621
144442b200
1529cd79e4
hex1b0ff610

454030864 has 45 divisors (see below), whose sum is σ = 1024653261. Its totient is φ = 194328960.

The previous prime is 454030847. The next prime is 454030891. The reversal of 454030864 is 468030454.

The square root of 454030864 is 21308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 452838400 = 1092^2 + 21280^2 .

It is a super-2 number, since 2×4540308642 = 412288050929172992, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 596244 + ... + 597004.

Almost surely, 2454030864 is an apocalyptic number.

454030864 is the 21308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454030864

454030864 is an abundant number, since it is smaller than the sum of its proper divisors (570622397).

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

454030864 is an frugal number, since it uses more digits than its factorization.

454030864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The cubic root of 454030864 is about 768.5907004271.

The spelling of 454030864 in words is "four hundred fifty-four million, thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 761 784 1522 3044 5327 6088 10654 12176 21308 37289 42616 74578 85232 149156 298312 579121 596624 1158242 2316484 4053847 4632968 8107694 9265936 16215388 28376929 32430776 56753858 64861552 113507716 227015432 454030864