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1029374568 = 23342369067
BaseRepresentation
bin111101010110110…
…000001001101000
32122201221122110000
4331112300021220
54102004441233
6250051023000
734336353015
oct7526601150
92581848400
101029374568
11489067392
1224889aa60
131353535a1
149a9d670c
1560584d13
hex3d5b0268

1029374568 has 80 divisors (see below), whose sum is σ = 3008602080. Its totient is φ = 328201632.

The previous prime is 1029374557. The next prime is 1029374569. The reversal of 1029374568 is 8654739201.

1029374568 is a `hidden beast` number, since 10 + 2 + 9 + 3 + 74 + 568 = 666.

1029374568 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10293745682 = 2119224002490373248, which contains 22 as substring.

1029374568 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1029374569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19630 + ... + 49437.

It is an arithmetic number, because the mean of its divisors is an integer number (37607526).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1029374568 = 2058749136, but 3⋅1029374568 = 3088123704 is not.

Almost surely, 21029374568 is an apocalyptic number.

1029374568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1029374568 is an abundant number, since it is smaller than the sum of its proper divisors (1979227512).

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

1029374568 is a wasteful number, since it uses less digits than its factorization.

1029374568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69108 (or 69095 counting only the distinct ones).

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

The square root of 1029374568 is about 32083.8677219565. The cubic root of 1029374568 is about 1009.6971833425.

The spelling of 1029374568 in words is "one billion, twenty-nine million, three hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 69067 138134 207201 276268 414402 552536 621603 828804 1243206 1588541 1657608 1864809 2486412 3177082 3729618 4765623 4972824 5594427 6354164 7459236 9531246 11188854 12708328 14296869 14918472 19062492 22377708 28593738 38124984 42890607 44755416 57187476 85781214 114374952 128671821 171562428 257343642 343124856 514687284 1029374568