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3009035088 = 2433173113217
BaseRepresentation
bin1011001101011010…
…0011101101010000
321202201000211011000
42303112203231100
522130303110323
61214330022000
7134365243023
oct26326435520
97681024130
103009035088
111304581664
126bb877900
1338c528b47
142078b91ba
1512927ae43
hexb35a3b50

3009035088 has 160 divisors (see below), whose sum is σ = 9440824320. Its totient is φ = 913489920.

The previous prime is 3009035069. The next prime is 3009035131. The reversal of 3009035088 is 8805309003.

3009035088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 221056 + ... + 234272.

It is an arithmetic number, because the mean of its divisors is an integer number (59005152).

Almost surely, 23009035088 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 3009035088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720412160).

3009035088 is an abundant number, since it is smaller than the sum of its proper divisors (6431789232).

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

3009035088 is a wasteful number, since it uses less digits than its factorization.

3009035088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13282 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3009035088 is about 54854.6724354453. The cubic root of 3009035088 is about 1443.6959916379.

The spelling of 3009035088 in words is "three billion, nine million, thirty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 248 272 279 306 372 408 432 459 496 527 558 612 744 816 837 918 1054 1116 1224 1488 1581 1674 1836 2108 2232 2448 3162 3348 3672 4216 4464 4743 6324 6696 7344 8432 9486 12648 13217 13392 14229 18972 25296 26434 28458 37944 39651 52868 56916 75888 79302 105736 113832 118953 158604 211472 224689 227664 237906 317208 356859 409727 449378 475812 634416 674067 713718 819454 898756 951624 1229181 1348134 1427436 1638908 1797512 1903248 2022201 2458362 2696268 2854872 3277816 3595024 3687543 4044402 4916724 5392536 5709744 6066603 6555632 6965359 7375086 8088804 9833448 10785072 11062629 12133206 13930718 14750172 16177608 19666896 20896077 22125258 24266412 27861436 29500344 32355216 41792154 44250516 48532824 55722872 59000688 62688231 83584308 88501032 97065648 111445744 125376462 167168616 177002064 188064693 250752924 334337232 376129386 501505848 752258772 1003011696 1504517544 3009035088