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3427382224 = 24733716879
BaseRepresentation
bin1100110001001001…
…1011001111010000
322211212020001112101
43030102123033100
524004402212344
61324032410144
7150635161000
oct31422331720
98755201471
103427382224
1114a9738aa2
127b79a6954
134280c2426
14247298000
15150d659d4
hexcc49b3d0

3427382224 has 80 divisors (see below), whose sum is σ = 7953856000. Its totient is φ = 1429094016.

The previous prime is 3427382183. The next prime is 3427382243. The reversal of 3427382224 is 4222837243.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 194617 + ... + 211495.

It is an arithmetic number, because the mean of its divisors is an integer number (99423200).

Almost surely, 23427382224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427382224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976928000).

3427382224 is an abundant number, since it is smaller than the sum of its proper divisors (4526473776).

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

3427382224 is a wasteful number, since it uses less digits than its factorization.

3427382224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16945 (or 16925 counting only the distinct ones).

The product of its digits is 129024, while the sum is 37.

The square root of 3427382224 is about 58543.8487289655. The cubic root of 3427382224 is about 1507.7205236478.

The spelling of 3427382224 in words is "three billion, four hundred twenty-seven million, three hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 343 392 518 592 686 784 1036 1372 1813 2072 2744 3626 4144 5488 7252 12691 14504 16879 25382 29008 33758 50764 67516 101528 118153 135032 203056 236306 270064 472612 624523 827071 945224 1249046 1654142 1890448 2498092 3308284 4371661 4996184 5789497 6616568 8743322 9992368 11578994 13233136 17486644 23157988 30601627 34973288 46315976 61203254 69946576 92631952 122406508 214211389 244813016 428422778 489626032 856845556 1713691112 3427382224