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29700396 = 223211179419
BaseRepresentation
bin111000101001…
…1000100101100
32001212221021200
41301103010230
530100403041
62540325500
7510310035
oct161230454
961787250
1029700396
1115846390
129b43890
1361cb7cb
143d31a8c
15291a1b6
hex1c5312c

29700396 has 72 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 8928480.

The previous prime is 29700389. The next prime is 29700397. The reversal of 29700396 is 69300792.

It is a super-2 number, since 2×297003962 = 1764227045113632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29700396.

It is not an unprimeable number, because it can be changed into a prime (29700397) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 70675 + ... + 71093.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 229700396 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 29700396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

29700396 is an abundant number, since it is smaller than the sum of its proper divisors (52854804).

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

29700396 is a wasteful number, since it uses less digits than its factorization.

29700396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 29700396 is about 5449.8069690586. The cubic root of 29700396 is about 309.6854110043.

The spelling of 29700396 in words is "twenty-nine million, seven hundred thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 179 198 358 396 419 537 716 838 1074 1257 1611 1676 1969 2148 2514 3222 3771 3938 4609 5028 5907 6444 7542 7876 9218 11814 13827 15084 17721 18436 23628 27654 35442 41481 55308 70884 75001 82962 150002 165924 225003 300004 450006 675009 825011 900012 1350018 1650022 2475033 2700036 3300044 4950066 7425099 9900132 14850198 29700396