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29349376 = 29719431
BaseRepresentation
bin110111111110…
…1011000000000
32001020002202221
41233331120000
530003140001
62525020424
7504315460
oct157753000
961202687
1029349376
1115626691
1299b4714
136107ac4
143c7dba0
15289b1a1
hex1bfd600

29349376 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 11888640.

The previous prime is 29349347. The next prime is 29349401. The reversal of 29349376 is 67394392.

It is a super-2 number, since 2×293493762 = 1722771743178752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67881 + ... + 68311.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 229349376 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 29349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

29349376 is an abundant number, since it is smaller than the sum of its proper divisors (41360384).

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

29349376 is an equidigital number, since it uses as much as digits as its factorization.

29349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its digits is 244944, while the sum is 43.

The square root of 29349376 is about 5417.5064374673. The cubic root of 29349376 is about 308.4605467436.

The spelling of 29349376 in words is "twenty-nine million, three hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 431 448 512 532 608 862 896 1064 1216 1724 1792 2128 2432 3017 3448 3584 4256 4864 6034 6896 8189 8512 9728 12068 13792 16378 17024 24136 27584 32756 34048 48272 55168 57323 65512 68096 96544 110336 114646 131024 193088 220672 229292 262048 386176 458584 524096 772352 917168 1048192 1544704 1834336 2096384 3668672 4192768 7337344 14674688 29349376