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29383380 = 223251329433
BaseRepresentation
bin111000000010…
…1101011010100
32001021211102100
41300011223110
530010232010
62525442100
7504516555
oct160055324
961254370
1029383380
111564a194
129a10330
13611a420
143c8c32c
1528a62c0
hex1c05ad4

29383380 has 144 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 6967296.

The previous prime is 29383307. The next prime is 29383399. The reversal of 29383380 is 8338392.

It can be written as a sum of positive squares in 8 ways, for example, as 6170256 + 23213124 = 2484^2 + 4818^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67644 + ... + 68076.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 229383380 is an apocalyptic number.

29383380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29383380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

29383380 is an abundant number, since it is smaller than the sum of its proper divisors (70141500).

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

29383380 is a wasteful number, since it uses less digits than its factorization.

29383380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29383380 is about 5420.6438731944. The cubic root of 29383380 is about 308.5796275746.

The spelling of 29383380 in words is "twenty-nine million, three hundred eighty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 433 435 468 522 580 585 754 780 866 870 1044 1131 1170 1299 1305 1508 1732 1740 1885 2165 2262 2340 2598 2610 3393 3770 3897 4330 4524 5196 5220 5629 5655 6495 6786 7540 7794 8660 11258 11310 12557 12990 13572 15588 16887 16965 19485 22516 22620 25114 25980 28145 33774 33930 37671 38970 50228 50661 56290 62785 67548 67860 75342 77940 84435 101322 112580 113013 125570 150684 163241 168870 188355 202644 226026 251140 253305 326482 337740 376710 452052 489723 506610 565065 652964 753420 816205 979446 1013220 1130130 1469169 1632410 1958892 2260260 2448615 2938338 3264820 4897230 5876676 7345845 9794460 14691690 29383380