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3216425436 = 223478091753
BaseRepresentation
bin1011111110110110…
…1100000111011100
322022011021100020000
42333231230013130
523041401103221
61251055054300
7142464110430
oct27755540734
98264240200
103216425436
111400652044
12759211390
133c349cc23
142272629c0
1513c594e26
hexbfb6c1dc

3216425436 has 120 divisors (see below), whose sum is σ = 9626934240. Its totient is φ = 917319168.

The previous prime is 3216425423. The next prime is 3216425473. The reversal of 3216425436 is 6345246123.

3216425436 is a `hidden beast` number, since 3 + 2 + 1 + 642 + 5 + 4 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3216425436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1833936 + ... + 1835688.

It is an arithmetic number, because the mean of its divisors is an integer number (80224452).

Almost surely, 23216425436 is an apocalyptic number.

3216425436 is a gapful number since it is divisible by the number (36) 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 3216425436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813467120).

3216425436 is an abundant number, since it is smaller than the sum of its proper divisors (6410508804).

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

3216425436 is a wasteful number, since it uses less digits than its factorization.

3216425436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2574 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3216425436 is about 56713.5383837052. The cubic root of 3216425436 is about 1476.1296237538.

It can be divided in two parts, 32164 and 25436, that added together give a square (57600 = 2402).

The spelling of 3216425436 in words is "three billion, two hundred sixteen million, four hundred twenty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 809 1134 1618 1753 2268 2427 3236 3506 4854 5259 5663 7012 7281 9708 10518 11326 12271 14562 15777 16989 21036 21843 22652 24542 29124 31554 33978 36813 43686 47331 49084 50967 63108 65529 67956 73626 87372 94662 101934 110439 131058 141993 147252 152901 189324 203868 220878 262116 283986 305802 331317 441756 458703 567972 611604 662634 917406 993951 1325268 1418177 1834812 1987902 2836354 3975804 4254531 5672708 8509062 9927239 12763593 17018124 19854478 25527186 29781717 38290779 39708956 51054372 59563434 76581558 89345151 114872337 119126868 153163116 178690302 229744674 268035453 357380604 459489348 536070906 804106359 1072141812 1608212718 3216425436