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453430944 = 25321918243
BaseRepresentation
bin11011000001101…
…100111010100000
31011121012200022200
4123001230322200
51412034242234
6112554333200
714144046051
oct3301547240
91147180280
10453430944
11212a4a41a
12107a2a200
1372c2b545
1444312728
1529c19d99
hex1b06cea0

453430944 has 72 divisors (see below), whose sum is σ = 1296352512. Its totient is φ = 150334080.

The previous prime is 453430933. The next prime is 453430951. The reversal of 453430944 is 449034354.

It is a happy number.

453430944 is a `hidden beast` number, since 4 + 534 + 30 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4534309442 = 411199241953462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 453430899 and 453430908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50887 + ... + 59129.

It is an arithmetic number, because the mean of its divisors is an integer number (18004896).

Almost surely, 2453430944 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 453430944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648176256).

453430944 is an abundant number, since it is smaller than the sum of its proper divisors (842921568).

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

453430944 is a wasteful number, since it uses less digits than its factorization.

453430944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 453430944 is about 21293.9180049140. The cubic root of 453430944 is about 768.2520331671.

The spelling of 453430944 in words is "four hundred fifty-three million, four hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 8243 9168 13752 16486 18336 24729 27504 32972 49458 55008 65944 74187 98916 131888 148374 197832 263776 296748 395664 593496 791328 1186992 1574413 2373984 3148826 4723239 6297652 9446478 12595304 14169717 18892956 25190608 28339434 37785912 50381216 56678868 75571824 113357736 151143648 226715472 453430944