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3940835328 = 213345939
BaseRepresentation
bin1110101011100100…
…0110000000000000
3101011122101011210000
43222321012000000
531032323212303
61451013440000
7166441355553
oct35271060000
911148334700
103940835328
111742553a01
1291b940000
134aa5a7a31
1429555269a
15180e89da3
hexeae46000

3940835328 has 140 divisors (see below), whose sum is σ = 11775117420. Its totient is φ = 1313390592.

The previous prime is 3940835323. The next prime is 3940835329. The reversal of 3940835328 is 8235380493.

3940835328 is a `hidden beast` number, since 39 + 4 + 0 + 83 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940835323) 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 9 ways as a sum of consecutive naturals, for example, 660583 + ... + 666521.

Almost surely, 23940835328 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 3940835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887558710).

3940835328 is an abundant number, since it is smaller than the sum of its proper divisors (7834282092).

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

3940835328 is an frugal number, since it uses more digits than its factorization.

3940835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3940835328 is about 62776.0728940573. The cubic root of 3940835328 is about 1579.5356387875.

The spelling of 3940835328 in words is "three billion, nine hundred forty million, eight hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 5939 6144 6912 8192 9216 10368 11878 12288 13824 17817 18432 20736 23756 24576 27648 35634 36864 41472 47512 53451 55296 71268 73728 82944 95024 106902 110592 142536 160353 165888 190048 213804 221184 285072 320706 331776 380096 427608 481059 570144 641412 663552 760192 855216 962118 1140288 1282824 1520384 1710432 1924236 2280576 2565648 3040768 3420864 3848472 4561152 5131296 6081536 6841728 7696944 9122304 10262592 12163072 13683456 15393888 18244608 20525184 24326144 27366912 30787776 36489216 41050368 48652288 54733824 61575552 72978432 82100736 109467648 123151104 145956864 164201472 218935296 246302208 328402944 437870592 492604416 656805888 985208832 1313611776 1970417664 3940835328