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29034368 = 2711171213
BaseRepresentation
bin110111011000…
…0011110000000
32000122002122222
41232300132000
524413044433
62514150212
7501534206
oct156603600
960562588
1029034368
1115430a50
129882368
1360275cc
143bdb076
152837b98
hex1bb0780

29034368 has 64 divisors (see below), whose sum is σ = 66867120. Its totient is φ = 12410880.

The previous prime is 29034323. The next prime is 29034373. The reversal of 29034368 is 86343092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 23330 + ... + 24542.

Almost surely, 229034368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33433560).

29034368 is an abundant number, since it is smaller than the sum of its proper divisors (37832752).

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

29034368 is a wasteful number, since it uses less digits than its factorization.

29034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 29034368 is about 5388.3548509726. The cubic root of 29034368 is about 307.3530017647.

The spelling of 29034368 in words is "twenty-nine million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1213 1408 1496 2176 2426 2992 4852 5984 9704 11968 13343 19408 20621 23936 26686 38816 41242 53372 77632 82484 106744 155264 164968 213488 226831 329936 426976 453662 659872 853952 907324 1319744 1707904 1814648 2639488 3629296 7258592 14517184 29034368