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29343072 = 2531137751
BaseRepresentation
bin110111111101…
…1110101100000
32001012210010110
41233323311200
530002434242
62524531320
7504261213
oct157736540
961183113
1029343072
1115621980
1299b0b40
136104c85
143c7b77a
15289939c
hex1bfbd60

29343072 has 96 divisors (see below), whose sum is σ = 86413824. Its totient is φ = 8640000.

The previous prime is 29343059. The next prime is 29343077. The reversal of 29343072 is 27034392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×293430722 = 1722031748794368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29343077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38697 + ... + 39447.

It is an arithmetic number, because the mean of its divisors is an integer number (900144).

Almost surely, 229343072 is an apocalyptic number.

29343072 is a gapful number since it is divisible by the number (22) 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 29343072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43206912).

29343072 is an abundant number, since it is smaller than the sum of its proper divisors (57070752).

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

29343072 is a wasteful number, since it uses less digits than its factorization.

29343072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 29343072 is about 5416.9245887311. The cubic root of 29343072 is about 308.4384602488.

It can be divided in two parts, 2934 and 3072, that added together give a palindrome (6006).

The spelling of 29343072 in words is "twenty-nine million, three hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 751 814 888 1056 1184 1221 1502 1628 1776 2253 2442 3004 3256 3552 4506 4884 6008 6512 8261 9012 9768 12016 13024 16522 18024 19536 24032 24783 27787 33044 36048 39072 49566 55574 66088 72096 83361 99132 111148 132176 166722 198264 222296 264352 305657 333444 396528 444592 611314 666888 793056 889184 916971 1222628 1333776 1833942 2445256 2667552 3667884 4890512 7335768 9781024 14671536 29343072