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29342376 = 2332728317
BaseRepresentation
bin110111111101…
…1101010101000
32001012202011200
41233323222220
530002424001
62524524200
7504256200
oct157735250
961182150
1029342376
11156213a8
1299b0660
13610486b
143c7b400
152899086
hex1bfbaa8

29342376 has 72 divisors (see below), whose sum is σ = 92454570. Its totient is φ = 8382528.

The previous prime is 29342359. The next prime is 29342377. The reversal of 29342376 is 67324392.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16597476 + 12744900 = 4074^2 + 3570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29342376.

It is not an unprimeable number, because it can be changed into a prime (29342377) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 631 + ... + 7686.

Almost surely, 229342376 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 29342376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46227285).

29342376 is an abundant number, since it is smaller than the sum of its proper divisors (63112194).

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

29342376 is a wasteful number, since it uses less digits than its factorization.

29342376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8329 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 29342376 is about 5416.8603452554. The cubic root of 29342376 is about 308.4360215713.

The spelling of 29342376 in words is "twenty-nine million, three hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8317 16634 24951 33268 49902 58219 66536 74853 99804 116438 149706 174657 199608 232876 299412 349314 407533 465752 523971 598824 698628 815066 1047942 1222599 1397256 1630132 2095884 2445198 3260264 3667797 4191768 4890396 7335594 9780792 14671188 29342376