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29542734 = 23213191661
BaseRepresentation
bin111000010110…
…0100101001110
32001120221000100
41300230211032
530030331414
62533111530
7506052264
oct160544516
961527010
1029542734
1115748991
129a885a6
136174b10
143cd0434
1528d8609
hex1c2c94e

29542734 has 48 divisors (see below), whose sum is σ = 69398784. Its totient is φ = 9028800.

The previous prime is 29542729. The next prime is 29542759. The reversal of 29542734 is 43724592.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44364 + ... + 45024.

It is an arithmetic number, because the mean of its divisors is an integer number (1445808).

Almost surely, 229542734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29542734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34699392).

29542734 is an abundant number, since it is smaller than the sum of its proper divisors (39856050).

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

29542734 is a wasteful number, since it uses less digits than its factorization.

29542734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 870 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 29542734 is about 5435.3228055011. The cubic root of 29542734 is about 309.1364590363.

It can be divided in two parts, 29542 and 734, that added together give a square (30276 = 1742).

The spelling of 29542734 in words is "twenty-nine million, five hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 661 1146 1322 1719 1983 2483 3438 3966 4966 5949 7449 8593 11898 14898 17186 22347 25779 44694 51558 77337 126251 154674 252502 378753 757506 1136259 1641263 2272518 3282526 4923789 9847578 14771367 29542734