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1029357468 = 223228593263
BaseRepresentation
bin111101010110101…
…011111110011100
32122201220202222200
4331112223332130
54102003414333
6250050411500
734336252116
oct7526537634
92581822880
101029357468
11489055557
12248890b90
13135348879
149a9d03b6
156057ec13
hex3d5abf9c

1029357468 has 18 divisors (see below), whose sum is σ = 2601987024. Its totient is φ = 343119144.

The previous prime is 1029357431. The next prime is 1029357491. The reversal of 1029357468 is 8647539201.

1029357468 is a `hidden beast` number, since 10 + 2 + 9 + 3 + 574 + 68 = 666.

1029357468 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

1029357468 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14296596 + ... + 14296667.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1029357468 = 2058714936, but 3⋅1029357468 = 3088072404 is not.

Almost surely, 21029357468 is an apocalyptic number.

1029357468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1029357468 is an abundant number, since it is smaller than the sum of its proper divisors (1572629556).

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

1029357468 is a wasteful number, since it uses less digits than its factorization.

1029357468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28593273 (or 28593268 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1029357468 is about 32083.6012317819. The cubic root of 1029357468 is about 1009.6915922720.

The spelling of 1029357468 in words is "one billion, twenty-nine million, three hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 28593263 57186526 85779789 114373052 171559578 257339367 343119156 514678734 1029357468