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29411312 = 2473143197
BaseRepresentation
bin111000000110…
…0011111110000
32001100020201212
41300030133300
530012130222
62530215252
7504664160
oct160143760
961306655
1029411312
1115669177
129a24528
13612a058
143c985a0
1528ae6e2
hex1c0c7f0

29411312 has 80 divisors (see below), whose sum is σ = 69138432. Its totient is φ = 11854080.

The previous prime is 29411303. The next prime is 29411321. The reversal of 29411312 is 21311492.

It is an interprime number because it is at equal distance from previous prime (29411303) and next prime (29411321).

It is a super-2 number, since 2×294113122 = 1730050547122688, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149198 + ... + 149394.

Almost surely, 229411312 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 29411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569216).

29411312 is an abundant number, since it is smaller than the sum of its proper divisors (39727120).

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

29411312 is a wasteful number, since it uses less digits than its factorization.

29411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 29411312 is about 5423.2197078857. The cubic root of 29411312 is about 308.6773757623.

The spelling of 29411312 in words is "twenty-nine million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 112 124 172 197 217 248 301 344 394 434 496 602 688 788 868 1204 1333 1379 1576 1736 2408 2666 2758 3152 3472 4816 5332 5516 6107 8471 9331 10664 11032 12214 16942 18662 21328 22064 24428 33884 37324 42749 48856 59297 67768 74648 85498 97712 118594 135536 149296 170996 237188 262601 341992 474376 525202 683984 948752 1050404 1838207 2100808 3676414 4201616 7352828 14705656 29411312