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39964340 = 225132341163
BaseRepresentation
bin1001100001110…
…0111010110100
32210012101202202
42120130322310
540212324330
63544324032
7663456053
oct230347264
983171682
1039964340
1120616889
1211473618
138383550
14544439a
153796445
hex261ceb4

39964340 has 96 divisors (see below), whose sum is σ = 97203456. Its totient is φ = 13685760.

The previous prime is 39964303. The next prime is 39964343. The reversal of 39964340 is 4346993.

39964340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 39964294 and 39964303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39964343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245099 + ... + 245261.

It is an arithmetic number, because the mean of its divisors is an integer number (1012536).

Almost surely, 239964340 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 39964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48601728).

39964340 is an abundant number, since it is smaller than the sum of its proper divisors (57239116).

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

39964340 is a wasteful number, since it uses less digits than its factorization.

39964340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 39964340 is about 6321.7355211999. The cubic root of 39964340 is about 341.8935295490.

It can be divided in two parts, 39964 and 340, that added together give a palindrome (40304).

The spelling of 39964340 in words is "thirty-nine million, nine hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 41 46 52 65 82 92 115 130 163 164 205 230 260 299 326 410 460 533 598 652 815 820 943 1066 1196 1495 1630 1886 2119 2132 2665 2990 3260 3749 3772 4238 4715 5330 5980 6683 7498 8476 9430 10595 10660 12259 13366 14996 18745 18860 21190 24518 26732 33415 37490 42380 48737 49036 61295 66830 74980 86879 97474 122590 133660 153709 173758 194948 243685 245180 307418 347516 434395 487370 614836 768545 868790 974740 1537090 1737580 1998217 3074180 3996434 7992868 9991085 19982170 39964340