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29434932 = 2232817637
BaseRepresentation
bin111000001001…
…0010000110100
32001101110010200
41300102100310
530013404212
62530520500
7505123062
oct160222064
961343120
1029434932
111568499a
129a36130
136137a27
143ca3032
1528b66dc
hex1c12434

29434932 has 18 divisors (see below), whose sum is σ = 74405058. Its totient is φ = 9811632.

The previous prime is 29434927. The next prime is 29434949. The reversal of 29434932 is 23943492.

It can be written as a sum of positive squares in only one way, i.e., 20034576 + 9400356 = 4476^2 + 3066^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 817637 = 29434932 / (2 + 9 + 4 + 3 + 4 + 9 + 3 + 2).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408783 + ... + 408854.

Almost surely, 229434932 is an apocalyptic number.

It is an amenable number.

29434932 is an abundant number, since it is smaller than the sum of its proper divisors (44970126).

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

29434932 is a wasteful number, since it uses less digits than its factorization.

29434932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817647 (or 817642 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 29434932 is about 5425.3969440033. The cubic root of 29434932 is about 308.7599857993.

It can be divided in two parts, 2943 and 4932, that added together give a triangular number (7875 = T125).

The spelling of 29434932 in words is "twenty-nine million, four hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 817637 1635274 2452911 3270548 4905822 7358733 9811644 14717466 29434932