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29954304 = 283213001
BaseRepresentation
bin111001001000…
…1000100000000
32002100211120200
41302101010000
530132014204
62550005200
7512415222
oct162210400
962324520
1029954304
11159aa126
12a046800
13628a253
143d9a412
15296a539
hex1c91100

29954304 has 54 divisors (see below), whose sum is σ = 86372286. Its totient is φ = 9984000.

The previous prime is 29954291. The next prime is 29954311. The reversal of 29954304 is 40345992.

It can be written as a sum of positive squares in only one way, i.e., 16646400 + 13307904 = 4080^2 + 3648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4197 + ... + 8804.

Almost surely, 229954304 is an apocalyptic number.

29954304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29954304 is an abundant number, since it is smaller than the sum of its proper divisors (56417982).

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

29954304 is a wasteful number, since it uses less digits than its factorization.

29954304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 29954304 is about 5473.0525303527. The cubic root of 29954304 is about 310.5654058734.

The spelling of 29954304 in words is "twenty-nine million, nine hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 13001 26002 39003 52004 78006 104008 117009 156012 208016 234018 312024 416032 468036 624048 832064 936072 1248096 1664128 1872144 2496192 3328256 3744288 4992384 7488576 9984768 14977152 29954304