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1328998374 = 2331123891093
BaseRepresentation
bin100111100110110…
…1110011111100110
310102121202010001000
41033031232133212
510210210421444
6335513014130
744635204554
oct11715563746
93377663030
101328998374
11622204170
123110b4346
1318244c092
14c870cbd4
157ba1c469
hex4f36e7e6

1328998374 has 128 divisors (see below), whose sum is σ = 3402777600. Its totient is φ = 380540160.

The previous prime is 1328998357. The next prime is 1328998379. The reversal of 1328998374 is 4738998231.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1328998374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328998379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215372 + ... + 1216464.

It is an arithmetic number, because the mean of its divisors is an integer number (26584200).

Almost surely, 21328998374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328998374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701388800).

1328998374 is an abundant number, since it is smaller than the sum of its proper divisors (2073779226).

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

1328998374 is a wasteful number, since it uses less digits than its factorization.

1328998374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1328998374 is about 36455.4299659187. The cubic root of 1328998374 is about 1099.4483112337.

The spelling of 1328998374 in words is "one billion, three hundred twenty-eight million, nine hundred ninety-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 89 99 138 178 198 207 253 267 297 414 506 534 594 621 759 801 979 1093 1242 1518 1602 1958 2047 2186 2277 2403 2937 3279 4094 4554 4806 5874 6141 6558 6831 8811 9837 12023 12282 13662 17622 18423 19674 22517 24046 25139 26433 29511 36069 36846 45034 50278 52866 55269 59022 67551 72138 75417 97277 108207 110538 135102 150834 194554 202653 216414 226251 276529 291831 324621 405306 452502 553058 583662 607959 649242 678753 829587 875493 1070047 1215918 1357506 1659174 1750986 2140094 2237371 2488761 2626479 3210141 4474742 4977522 5252958 6420282 6712113 7466283 9630423 13424226 14932566 19260846 20136339 24611081 28891269 40272678 49222162 57782538 60409017 73833243 120818034 147666486 221499729 442999458 664499187 1328998374