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1061000328 = 233176189479
BaseRepresentation
bin111111001111011…
…001010010001000
32201221110101211110
4333033121102020
54133104002303
6253140530320
735202232263
oct7717312210
92657411743
101061000328
114a49a8283
122573b09a0
1313ba7755b
14a0ca9cda
1563230703
hex3f3d9488

1061000328 has 128 divisors (see below), whose sum is σ = 2892672000. Its totient is φ = 323051520.

The previous prime is 1061000321. The next prime is 1061000333. The reversal of 1061000328 is 8230001601.

It is a Cunningham number, because it is equal to 325732-1.

It is a super-2 number, since 2×10610003282 = 2251443392032215168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061000321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214793 + ... + 2215271.

It is an arithmetic number, because the mean of its divisors is an integer number (22599000).

Almost surely, 21061000328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061000328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446336000).

1061000328 is an abundant number, since it is smaller than the sum of its proper divisors (1831671672).

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

1061000328 is a wasteful number, since it uses less digits than its factorization.

1061000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1061000328 is about 32572.9999846499. Note that the first 4 decimals coincide. The cubic root of 1061000328 is about 1019.9334597116.

Adding to 1061000328 its reverse (8230001601), we get a palindrome (9291001929).

The spelling of 1061000328 in words is "one billion, sixty-one million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 89 102 122 136 178 183 204 244 267 356 366 408 479 488 534 712 732 958 1037 1068 1437 1464 1513 1916 2074 2136 2874 3026 3111 3832 4148 4539 5429 5748 6052 6222 8143 8296 9078 10858 11496 12104 12444 16286 16287 18156 21716 24429 24888 29219 32572 32574 36312 42631 43432 48858 58438 65144 65148 85262 87657 92293 97716 116876 127893 130296 170524 175314 184586 195432 233752 255786 276879 341048 350628 369172 496723 511572 553758 701256 724727 738344 993446 1023144 1107516 1449454 1490169 1986892 2174181 2215032 2600491 2898908 2980338 3973784 4348362 5200982 5797816 5960676 7801473 8696724 10401964 11921352 15602946 17393448 20803928 31205892 44208347 62411784 88416694 132625041 176833388 265250082 353666776 530500164 1061000328