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3424012032 = 28376131039
BaseRepresentation
bin1100110000010110…
…0100011100000000
322211121212211111110
43030011210130000
524003021341112
61323432243320
7150564423240
oct31405443400
98747784443
103424012032
1114a7846a11
127b6840540
134274b242c
14246a5bb20
151508ec13c
hexcc164700

3424012032 has 144 divisors (see below), whose sum is σ = 10441733120. Its totient is φ = 975753216.

The previous prime is 3424011989. The next prime is 3424012037. The reversal of 3424012032 is 2302104243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424012037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294969 + ... + 3296007.

Almost surely, 23424012032 is an apocalyptic number.

3424012032 is a gapful number since it is divisible by the number (32) 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 3424012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220866560).

3424012032 is an abundant number, since it is smaller than the sum of its proper divisors (7017721088).

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

3424012032 is a wasteful number, since it uses less digits than its factorization.

3424012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3424012032 is about 58515.0581645443. The cubic root of 3424012032 is about 1507.2261741480.

Adding to 3424012032 its reverse (2302104243), we get a palindrome (5726116275).

The spelling of 3424012032 in words is "three billion, four hundred twenty-four million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 613 672 768 896 1039 1226 1344 1792 1839 2078 2452 2688 3117 3678 4156 4291 4904 5376 6234 7273 7356 8312 8582 9808 12468 12873 14546 14712 16624 17164 19616 21819 24936 25746 29092 29424 33248 34328 39232 43638 49872 51492 58184 58848 66496 68656 78464 87276 99744 102984 116368 117696 132992 137312 156928 174552 199488 205968 232736 235392 265984 274624 349104 398976 411936 465472 470784 549248 636907 698208 797952 823872 930944 1098496 1273814 1396416 1647744 1861888 1910721 2547628 2792832 3295488 3821442 4458349 5095256 5585664 7642884 8916698 10190512 13375047 15285768 17833396 20381024 26750094 30571536 35666792 40762048 53500188 61143072 71333584 81524096 107000376 122286144 142667168 163048192 214000752 244572288 285334336 428001504 489144576 570668672 856003008 1141337344 1712006016 3424012032