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74206944 = 2532736809
BaseRepresentation
bin1000110110001…
…00111011100000
312011122002210100
410123010323200
5122444110234
611210302400
71560514530
oct433047340
9164562710
1074206944
1138984859
1220a27a00
13124b2646
149bd94c0
1567ac399
hex46c4ee0

74206944 has 72 divisors (see below), whose sum is σ = 241179120. Its totient is φ = 21201408.

The previous prime is 74206939. The next prime is 74206973. The reversal of 74206944 is 44960247.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 74206899 and 74206908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16389 + ... + 20420.

It is an arithmetic number, because the mean of its divisors is an integer number (3349710).

Almost surely, 274206944 is an apocalyptic number.

It is an amenable number.

74206944 is an abundant number, since it is smaller than the sum of its proper divisors (166972176).

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

74206944 is a wasteful number, since it uses less digits than its factorization.

74206944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36832 (or 36821 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74206944 is about 8614.3452449969. The cubic root of 74206944 is about 420.2246417312.

The spelling of 74206944 in words is "seventy-four million, two hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 36809 73618 110427 147236 220854 257663 294472 331281 441708 515326 588944 662562 772989 883416 1030652 1177888 1325124 1545978 1766832 2061304 2318967 2650248 3091956 3533664 4122608 4637934 5300496 6183912 8245216 9275868 10600992 12367824 18551736 24735648 37103472 74206944