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29134296 = 23331931229
BaseRepresentation
bin110111100100…
…0110111011000
32000211011202000
41233020313120
524424244141
62520241000
7502431432
oct157106730
960734660
1029134296
111549a034
129910160
136060c39
143c25652
1528575b6
hex1bc8dd8

29134296 has 128 divisors (see below), whose sum is σ = 88320000. Its totient is φ = 8864640.

The previous prime is 29134279. The next prime is 29134309. The reversal of 29134296 is 69243192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29134296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127110 + ... + 127338.

It is an arithmetic number, because the mean of its divisors is an integer number (690000).

Almost surely, 229134296 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 29134296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44160000).

29134296 is an abundant number, since it is smaller than the sum of its proper divisors (59185704).

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

29134296 is a wasteful number, since it uses less digits than its factorization.

29134296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 29134296 is about 5397.6194752872. The cubic root of 29134296 is about 307.7052050876.

The spelling of 29134296 in words is "twenty-nine million, one hundred thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 229 248 279 342 372 456 458 513 558 589 684 687 744 837 916 1026 1116 1178 1368 1374 1674 1767 1832 2052 2061 2232 2356 2748 3348 3534 4104 4122 4351 4712 5301 5496 6183 6696 7068 7099 8244 8702 10602 12366 13053 14136 14198 15903 16488 17404 21204 21297 24732 26106 28396 31806 34808 39159 42408 42594 49464 52212 56792 63612 63891 78318 85188 104424 117477 127224 127782 134881 156636 170376 191673 234954 255564 269762 313272 383346 404643 469908 511128 539524 766692 809286 939816 1079048 1213929 1533384 1618572 2427858 3237144 3641787 4855716 7283574 9711432 14567148 29134296