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29430198 = 23271311783
BaseRepresentation
bin111000001000…
…1000110110110
32001101012122100
41300101012312
530013231243
62530442530
7505103220
oct160210666
961335570
1029430198
1115681386
129a33446
136135825
143ca1410
1528b50d3
hex1c111b6

29430198 has 48 divisors (see below), whose sum is σ = 73472256. Its totient is φ = 8339760.

The previous prime is 29430173. The next prime is 29430217. The reversal of 29430198 is 89103492.

It is a super-2 number, since 2×294301982 = 1732273108638408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 15615 + ... + 17397.

It is an arithmetic number, because the mean of its divisors is an integer number (1530672).

Almost surely, 229430198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29430198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36736128).

29430198 is an abundant number, since it is smaller than the sum of its proper divisors (44042058).

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

29430198 is a wasteful number, since it uses less digits than its factorization.

29430198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29430198 is about 5424.9606450185. The cubic root of 29430198 is about 308.7434323593.

The spelling of 29430198 in words is "twenty-nine million, four hundred thirty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1783 1834 2358 2751 3566 5349 5502 8253 10698 12481 16047 16506 24962 32094 37443 74886 112329 224658 233573 467146 700719 1401438 1635011 2102157 3270022 4204314 4905033 9810066 14715099 29430198