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29034642 = 23713411297
BaseRepresentation
bin110111011000…
…0100010010010
32000122010001010
41232300202102
524413102032
62514151350
7501535050
oct156604222
960563033
1029034642
111543117a
129882556
136027780
143bdb1d0
152837ccc
hex1bb0892

29034642 has 64 divisors (see below), whose sum is σ = 73269504. Its totient is φ = 7464960.

The previous prime is 29034637. The next prime is 29034661. The reversal of 29034642 is 24643092.

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 31 ways as a sum of consecutive naturals, for example, 21738 + ... + 23034.

It is an arithmetic number, because the mean of its divisors is an integer number (1144836).

Almost surely, 229034642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29034642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36634752).

29034642 is an abundant number, since it is smaller than the sum of its proper divisors (44234862).

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

29034642 is a wasteful number, since it uses less digits than its factorization.

29034642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 29034642 is about 5388.3802761127. The cubic root of 29034642 is about 307.3539686012.

The spelling of 29034642 in words is "twenty-nine million, thirty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1297 1599 1722 2594 3198 3731 3891 7462 7782 9079 11193 16861 18158 22386 27237 33722 50583 53177 54474 101166 106354 118027 159531 236054 319062 354081 372239 691301 708162 744478 1116717 1382602 2073903 2233434 4147806 4839107 9678214 14517321 29034642