Search a number
-
+
29343440 = 245761859
BaseRepresentation
bin110111111101…
…1111011010000
32001012210122002
41233323323100
530002442230
62524533132
7504262250
oct157737320
961183562
1029343440
1115622185
1299b11a8
1361051a9
143c7b960
152899545
hex1bfbed0

29343440 has 80 divisors (see below), whose sum is σ = 79340160. Its totient is φ = 9884160.

The previous prime is 29343427. The next prime is 29343443. The reversal of 29343440 is 4434392.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×293434402 = 1722074942067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29343443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33731 + ... + 34589.

It is an arithmetic number, because the mean of its divisors is an integer number (991752).

Almost surely, 229343440 is an apocalyptic number.

29343440 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 29343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39670080).

29343440 is an abundant number, since it is smaller than the sum of its proper divisors (49996720).

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

29343440 is a wasteful number, since it uses less digits than its factorization.

29343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 29343440 is about 5416.9585562380. The cubic root of 29343440 is about 308.4397496489.

The spelling of 29343440 in words is "twenty-nine million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 859 976 1220 1708 1718 2135 2440 3416 3436 4270 4295 4880 6013 6832 6872 8540 8590 12026 13744 17080 17180 24052 30065 34160 34360 48104 52399 60130 68720 96208 104798 120260 209596 240520 261995 366793 419192 481040 523990 733586 838384 1047980 1467172 1833965 2095960 2934344 3667930 4191920 5868688 7335860 14671720 29343440