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42734304 = 253416487
BaseRepresentation
bin1010001100000…
…1001011100000
32222102010110000
42203001023200
541414444204
64123540000
71026143544
oct243011340
988363400
1042734304
1122138a08
121238a600
138b13292
145965a24
153b42039
hex28c12e0

42734304 has 60 divisors (see below), whose sum is σ = 125688024. Its totient is φ = 14243904.

The previous prime is 42734291. The next prime is 42734309. The reversal of 42734304 is 40343724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42734309) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5652 + ... + 10835.

Almost surely, 242734304 is an apocalyptic number.

It is an amenable number.

42734304 is an abundant number, since it is smaller than the sum of its proper divisors (82953720).

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

42734304 is a wasteful number, since it uses less digits than its factorization.

42734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509 (or 16492 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 42734304 is about 6537.1480019960. The cubic root of 42734304 is about 349.6167342013.

The spelling of 42734304 in words is "forty-two million, seven hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 16487 32974 49461 65948 98922 131896 148383 197844 263792 296766 395688 445149 527584 593532 791376 890298 1187064 1335447 1582752 1780596 2374128 2670894 3561192 4748256 5341788 7122384 10683576 14244768 21367152 42734304