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1034993448 = 233214374909
BaseRepresentation
bin111101101100001…
…011111100101000
32200010112010002200
4331230023330220
54104424242243
6250411300200
734435204416
oct7554137450
92603463080
101034993448
11491254995
1224a74a660
1313656cc78
149b65a2b6
1560ce4ad3
hex3db0bf28

1034993448 has 24 divisors (see below), whose sum is σ = 2803107450. Its totient is φ = 344997792.

The previous prime is 1034993447. The next prime is 1034993459. The reversal of 1034993448 is 8443994301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1006285284 + 28708164 = 31722^2 + 5358^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10349934482 = 2142422874805857408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1034993447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7187383 + ... + 7187526.

Almost surely, 21034993448 is an apocalyptic number.

1034993448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1034993448 is an abundant number, since it is smaller than the sum of its proper divisors (1768114002).

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

1034993448 is a wasteful number, since it uses less digits than its factorization.

1034993448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14374921 (or 14374914 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1034993448 is about 32171.3140546046. The cubic root of 1034993448 is about 1011.5310074634.

The spelling of 1034993448 in words is "one billion, thirty-four million, nine hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14374909 28749818 43124727 57499636 86249454 114999272 129374181 172498908 258748362 344997816 517496724 1034993448