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29989344 = 2537114057
BaseRepresentation
bin111001001100…
…1100111100000
32002102121122110
41302121213200
530134124334
62550435320
7512622330
oct162314740
962377573
1029989344
1115a23490
12a062b40
1362a0198
143da90c0
152975ae9
hex1c999e0

29989344 has 96 divisors (see below), whose sum is σ = 98171136. Its totient is φ = 7787520.

The previous prime is 29989331. The next prime is 29989357. The reversal of 29989344 is 44398992.

It is an interprime number because it is at equal distance from previous prime (29989331) and next prime (29989357).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 29989293 and 29989302.

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, 5364 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (1022616).

Almost surely, 229989344 is an apocalyptic number.

29989344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49085568).

29989344 is an abundant number, since it is smaller than the sum of its proper divisors (68181792).

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

29989344 is a wasteful number, since it uses less digits than its factorization.

29989344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4080 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 29989344 is about 5476.2527333935. The cubic root of 29989344 is about 310.6864566058.

The spelling of 29989344 in words is "twenty-nine million, nine hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 4057 7392 8114 12171 16228 24342 28399 32456 44627 48684 56798 64912 85197 89254 97368 113596 129824 133881 170394 178508 194736 227192 267762 312389 340788 357016 389472 454384 535524 624778 681576 714032 908768 937167 1071048 1249556 1363152 1428064 1874334 2142096 2499112 2726304 3748668 4284192 4998224 7497336 9996448 14994672 29989344