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943694136 = 2332721124317
BaseRepresentation
bin111000001111111…
…010000100111000
32102202201121222200
4320033322010320
53413041203021
6233350350200
732246160600
oct7017720470
92382647880
10943694136
11444766410
1222405b360
131206847c8
148d491c00
1557cad126
hex383fa138

943694136 has 144 divisors (see below), whose sum is σ = 3243534840. Its totient is φ = 245105280.

The previous prime is 943694131. The next prime is 943694149. The reversal of 943694136 is 631496349.

943694136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 943694091 and 943694100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (943694131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26650 + ... + 50966.

Almost surely, 2943694136 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 943694136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621767420).

943694136 is an abundant number, since it is smaller than the sum of its proper divisors (2299840704).

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

943694136 is a wasteful number, since it uses less digits than its factorization.

943694136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 24340 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 943694136 is about 30719.6050755865. The cubic root of 943694136 is about 980.8676669373.

The spelling of 943694136 in words is "nine hundred forty-three million, six hundred ninety-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 5544 6468 9702 12936 19404 24317 38808 48634 72951 97268 145902 170219 194536 218853 267487 291804 340438 437706 510657 534974 583608 680876 802461 875412 1021314 1069948 1191533 1361752 1531971 1604922 1750824 1872409 2042628 2139896 2383066 2407383 3063942 3209844 3574599 3744818 4085256 4766132 4814766 5617227 6127884 6419688 7149198 7489636 9532264 9629532 10723797 11234454 12255768 13106863 14298396 14979272 16851681 19259064 21447594 22468908 26213726 28596792 33703362 39320589 42895188 44937816 52427452 67406724 78641178 85790376 104854904 117961767 134813448 157282356 235923534 314564712 471847068 943694136