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29348240 = 245366853
BaseRepresentation
bin110111111110…
…1000110010000
32001020001012212
41233331012100
530003120430
62525011252
7504312245
oct157750620
961201185
1029348240
1115625849
1299b3b28
13610742c
143c7d5cc
15289ab95
hex1bfd190

29348240 has 20 divisors (see below), whose sum is σ = 68234844. Its totient is φ = 11739264.

The previous prime is 29348237. The next prime is 29348243. The reversal of 29348240 is 4284392.

It is an interprime number because it is at equal distance from previous prime (29348237) and next prime (29348243).

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 21418384 = 2816^2 + 4628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×293482402 = 1722638382195200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29348197 and 29348206.

It is not an unprimeable number, because it can be changed into a prime (29348243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183347 + ... + 183506.

Almost surely, 229348240 is an apocalyptic number.

29348240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29348240 is an abundant number, since it is smaller than the sum of its proper divisors (38886604).

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

29348240 is a wasteful number, since it uses less digits than its factorization.

29348240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366866 (or 366860 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 29348240 is about 5417.4015911690. The cubic root of 29348240 is about 308.4565669236.

The spelling of 29348240 in words is "twenty-nine million, three hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 366853 733706 1467412 1834265 2934824 3668530 5869648 7337060 14674120 29348240