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29714430 = 2353189359
BaseRepresentation
bin111000101011…
…0011111111110
32001220122112110
41301112133332
530101330210
62540514450
7510365664
oct161263776
961818473
1029714430
1115855989
129b4ba26
136205005
143d36c34
15291e420
hex1c567fe

29714430 has 64 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 7560960.

The previous prime is 29714407. The next prime is 29714437. The reversal of 29714430 is 3441792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29714437) 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 31 ways as a sum of consecutive naturals, for example, 82591 + ... + 82949.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 229714430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29714430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

29714430 is an abundant number, since it is smaller than the sum of its proper divisors (44935170).

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

29714430 is a wasteful number, since it uses less digits than its factorization.

29714430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 29714430 is about 5451.0943855340. The cubic root of 29714430 is about 309.7341807322.

The spelling of 29714430 in words is "twenty-nine million, seven hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 89 93 155 178 186 267 310 359 445 465 534 718 890 930 1077 1335 1795 2154 2670 2759 3590 5385 5518 8277 10770 11129 13795 16554 22258 27590 31951 33387 41385 55645 63902 66774 82770 95853 111290 159755 166935 191706 319510 333870 479265 958530 990481 1980962 2971443 4952405 5942886 9904810 14857215 29714430