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1453355440 = 24518166943
BaseRepresentation
bin101011010100000…
…0111000110110000
310202021202002212021
41112220013012300
510434024333230
6400114241224
751005213605
oct12650070660
93667662767
101453355440
116864214a9
12346886214
131a2140244
14db0406ac
15878d3c7a
hex56a071b0

1453355440 has 20 divisors (see below), whose sum is σ = 3379051584. Its totient is φ = 581342144.

The previous prime is 1453355419. The next prime is 1453355443. The reversal of 1453355440 is 445533541.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×14533554402 = 4224484069955187200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453355396 and 1453355405.

It is not an unprimeable number, because it can be changed into a prime (1453355443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9083392 + ... + 9083551.

Almost surely, 21453355440 is an apocalyptic number.

1453355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1453355440 is an abundant number, since it is smaller than the sum of its proper divisors (1925696144).

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

1453355440 is a wasteful number, since it uses less digits than its factorization.

1453355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18166956 (or 18166950 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 1453355440 is about 38122.8991552321. The cubic root of 1453355440 is about 1132.7235943538.

Adding to 1453355440 its reverse (445533541), we get a palindrome (1898888981).

The spelling of 1453355440 in words is "one billion, four hundred fifty-three million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 18166943 36333886 72667772 90834715 145335544 181669430 290671088 363338860 726677720 1453355440