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3238140864 = 26377973023
BaseRepresentation
bin1100000100000010…
…0001101111000000
322100200010121012010
43001000201233000
523112431001424
61253152332520
7143146512630
oct30100415700
98320117163
103238140864
111411934182
12764544140
133c7b340aa
1422a0b66c0
1513e434229
hexc1021bc0

3238140864 has 112 divisors (see below), whose sum is σ = 9807049728. Its totient is φ = 923716608.

The previous prime is 3238140827. The next prime is 3238140889. The reversal of 3238140864 is 4680418323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1069657 + ... + 1072679.

It is an arithmetic number, because the mean of its divisors is an integer number (87562944).

Almost surely, 23238140864 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 3238140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903524864).

3238140864 is an abundant number, since it is smaller than the sum of its proper divisors (6568908864).

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

3238140864 is a wasteful number, since it uses less digits than its factorization.

3238140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3238140864 is about 56904.6646945573. The cubic root of 3238140864 is about 1479.4441642956. Note that the first 3 decimals are identical.

The spelling of 3238140864 in words is "three billion, two hundred thirty-eight million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 797 1344 1594 2391 3023 3188 4782 5579 6046 6376 9069 9564 11158 12092 12752 16737 18138 19128 21161 22316 24184 25504 33474 36276 38256 42322 44632 48368 51008 63483 66948 72552 76512 84644 89264 96736 126966 133896 145104 153024 169288 178528 193472 253932 267792 290208 338576 357056 507864 535584 580416 677152 1015728 1071168 1354304 2031456 2409331 4062912 4818662 7227993 9637324 14455986 16865317 19274648 28911972 33730634 38549296 50595951 57823944 67461268 77098592 101191902 115647888 134922536 154197184 202383804 231295776 269845072 404767608 462591552 539690144 809535216 1079380288 1619070432 3238140864