Search a number
-
+
29309424 = 2434153281
BaseRepresentation
bin110111111001…
…1100111110000
32001011001222020
41233303213300
530000400144
62524111440
7504061134
oct157634760
961131866
1029309424
11155a9671
129995580
1360c2871
143c6d3c4
15288e419
hex1bf39f0

29309424 has 80 divisors (see below), whose sum is σ = 79307424. Its totient is φ = 9318400.

The previous prime is 29309417. The next prime is 29309437. The reversal of 29309424 is 42490392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104164 + ... + 104444.

Almost surely, 229309424 is an apocalyptic number.

29309424 is a gapful number since it is divisible by the number (24) 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 29309424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39653712).

29309424 is an abundant number, since it is smaller than the sum of its proper divisors (49998000).

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

29309424 is a wasteful number, since it uses less digits than its factorization.

29309424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 29309424 is about 5413.8178765082. The cubic root of 29309424 is about 308.3205186461.

The spelling of 29309424 in words is "twenty-nine million, three hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 281 318 328 424 492 562 636 656 843 848 984 1124 1272 1686 1968 2173 2248 2544 3372 4346 4496 6519 6744 8692 11521 13038 13488 14893 17384 23042 26076 29786 34563 34768 44679 46084 52152 59572 69126 89358 92168 104304 119144 138252 178716 184336 238288 276504 357432 553008 610613 714864 1221226 1831839 2442452 3663678 4884904 7327356 9769808 14654712 29309424