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29934918 = 23213196733
BaseRepresentation
bin111001000110…
…0010101000110
32002022211222200
41302030111012
530130404133
62545335330
7512304546
oct162142506
962284880
1029934918
1115996602
12a037546
136281490
143d93326
152964913
hex1c8c546

29934918 has 48 divisors (see below), whose sum is σ = 73535280. Its totient is φ = 8724672.

The previous prime is 29934913. The next prime is 29934929. The reversal of 29934918 is 81943992.

29934918 is a `hidden beast` number, since 299 + 349 + 18 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29934913) 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, 1080 + ... + 7812.

It is an arithmetic number, because the mean of its divisors is an integer number (1531985).

Almost surely, 229934918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29934918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36767640).

29934918 is an abundant number, since it is smaller than the sum of its proper divisors (43600362).

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

29934918 is a wasteful number, since it uses less digits than its factorization.

29934918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6770 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 29934918 is about 5471.2812027897. The cubic root of 29934918 is about 310.4983935754.

The spelling of 29934918 in words is "twenty-nine million, nine hundred thirty-four thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 6733 13466 20199 40398 60597 87529 121194 127927 175058 255854 262587 383781 525174 767562 787761 1151343 1575522 1663051 2302686 3326102 4989153 9978306 14967459 29934918