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29034040 = 2357971069
BaseRepresentation
bin110111011000…
…0011000111000
32000122002012211
41232300120320
524413042130
62514144504
7501533230
oct156603070
960562184
1029034040
1115430782
129882134
136027409
143bdacc0
152837a2a
hex1bb0638

29034040 has 64 divisors (see below), whose sum is σ = 75499200. Its totient is φ = 9842688.

The previous prime is 29033989. The next prime is 29034043. The reversal of 29034040 is 4043092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29034043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26626 + ... + 27694.

It is an arithmetic number, because the mean of its divisors is an integer number (1179675).

Almost surely, 229034040 is an apocalyptic number.

29034040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749600).

29034040 is an abundant number, since it is smaller than the sum of its proper divisors (46465160).

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

29034040 is a wasteful number, since it uses less digits than its factorization.

29034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 29034040 is about 5388.3244148808. The cubic root of 29034040 is about 307.3518443759.

The spelling of 29034040 in words is "twenty-nine million, thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1069 1358 1940 2138 2716 3395 3880 4276 5345 5432 6790 7483 8552 10690 13580 14966 21380 27160 29932 37415 42760 59864 74830 103693 149660 207386 299320 414772 518465 725851 829544 1036930 1451702 2073860 2903404 3629255 4147720 5806808 7258510 14517020 29034040