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29383344 = 2433174001
BaseRepresentation
bin111000000010…
…1101010110000
32001021211101000
41300011222300
530010231334
62525442000
7504516504
oct160055260
961254330
1029383344
111564a161
129a10300
13611a3c3
143c8c304
1528a6299
hex1c05ab0

29383344 has 80 divisors (see below), whose sum is σ = 89324640. Its totient is φ = 9216000.

The previous prime is 29383307. The next prime is 29383399. The reversal of 29383344 is 44338392.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 29383299 and 29383308.

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, 5344 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (1116558).

Almost surely, 229383344 is an apocalyptic number.

29383344 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 29383344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44662320).

29383344 is an abundant number, since it is smaller than the sum of its proper divisors (59941296).

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

29383344 is a wasteful number, since it uses less digits than its factorization.

29383344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4023 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 29383344 is about 5420.6405525547. The cubic root of 29383344 is about 308.5795015525.

The spelling of 29383344 in words is "twenty-nine million, three hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 4001 7344 8002 12003 16004 24006 32008 36009 48012 64016 68017 72018 96024 108027 136034 144036 192048 204051 216054 272068 288072 408102 432108 544136 576144 612153 816204 864216 1088272 1224306 1632408 1728432 1836459 2448612 3264816 3672918 4897224 7345836 9794448 14691672 29383344