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29746134 = 23211197907
BaseRepresentation
bin111000101111…
…0001111010110
32001222021000200
41301132033112
530103334014
62541321330
7510560265
oct161361726
961867020
1029746134
1115877790
129b66246
136216582
143d445dc
152928a09
hex1c5e3d6

29746134 has 48 divisors (see below), whose sum is σ = 74018880. Its totient is φ = 8538480.

The previous prime is 29746133. The next prime is 29746163. The reversal of 29746134 is 43164792.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29746133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192 + ... + 7715.

It is an arithmetic number, because the mean of its divisors is an integer number (1542060).

Almost surely, 229746134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29746134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37009440).

29746134 is an abundant number, since it is smaller than the sum of its proper divisors (44272746).

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

29746134 is a wasteful number, since it uses less digits than its factorization.

29746134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945 (or 7942 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 29746134 is about 5454.0016501648. The cubic root of 29746134 is about 309.8442991954.

The spelling of 29746134 in words is "twenty-nine million, seven hundred forty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 7907 15814 23721 47442 71163 86977 142326 150233 173954 260931 300466 450699 521862 782793 901398 1352097 1565586 1652563 2704194 3305126 4957689 9915378 14873067 29746134