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1028344830 = 235713171523
BaseRepresentation
bin111101010010110…
…100101111111110
32122200000022220120
4331102310233332
54101224013310
6250012555410
734324533612
oct7522645776
92580008816
101028344830
11488523767
12248482b66
13135082986
149a809342
156042eb70
hex3d4b4bfe

1028344830 has 64 divisors (see below), whose sum is σ = 2512332288. Its totient is φ = 269333120.

The previous prime is 1028344829. The next prime is 1028344859. The reversal of 1028344830 is 384438201.

It is a junction number, because it is equal to n+sod(n) for n = 1028344791 and 1028344800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674449 + ... + 675971.

It is an arithmetic number, because the mean of its divisors is an integer number (39255192).

Almost surely, 21028344830 is an apocalyptic number.

1028344830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028344830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256166144).

1028344830 is an abundant number, since it is smaller than the sum of its proper divisors (1483987458).

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

1028344830 is a wasteful number, since it uses less digits than its factorization.

1028344830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1028344830 is about 32067.8161089900. The cubic root of 1028344830 is about 1009.3603864562.

The spelling of 1028344830 in words is "one billion, twenty-eight million, three hundred forty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 317 355 426 634 710 951 1065 1523 1585 1902 2130 3046 3170 4569 4755 7615 9138 9510 15230 22507 22845 45014 45690 67521 108133 112535 135042 216266 225070 324399 337605 482791 540665 648798 675210 965582 1081330 1448373 1621995 2413955 2896746 3243990 4827910 7241865 14483730 34278161 68556322 102834483 171390805 205668966 342781610 514172415 1028344830