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1028232468 = 223429109433
BaseRepresentation
bin111101010010011…
…001010100010100
32122122210121210000
4331102121110110
54101211414333
6250010331300
734323555204
oct7522312424
92578717700
101028232468
114884572aa
12248429b30
131350437a3
149a7ba404
156040b713
hex3d499514

1028232468 has 60 divisors (see below), whose sum is σ = 2780717940. Its totient is φ = 330922368.

The previous prime is 1028232467. The next prime is 1028232487. The reversal of 1028232468 is 8642328201.

It can be written as a sum of positive squares in 2 ways, for example, as 782432784 + 245799684 = 27972^2 + 15678^2 .

It is a super-3 number, since 3×10282324683 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028232467) 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, 45321 + ... + 64112.

It is an arithmetic number, because the mean of its divisors is an integer number (46345299).

Almost surely, 21028232468 is an apocalyptic number.

1028232468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1028232468 is an abundant number, since it is smaller than the sum of its proper divisors (1752485472).

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

1028232468 is a wasteful number, since it uses less digits than its factorization.

1028232468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109478 (or 109467 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1028232468 is about 32066.0641176930. The cubic root of 1028232468 is about 1009.3236225617.

The spelling of 1028232468 in words is "one billion, twenty-eight million, two hundred thirty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 109433 218866 328299 437732 656598 984897 1313196 1969794 2954691 3173557 3939588 5909382 6347114 8864073 9520671 11818764 12694228 17728146 19041342 28562013 35456292 38082684 57124026 85686039 114248052 171372078 257058117 342744156 514116234 1028232468