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40004340 = 22352983277
BaseRepresentation
bin1001100010011…
…0101011110100
32210021102122020
42120212223310
540220114330
63545233140
7664013505
oct230465364
983242566
1040004340
1120643942
12114927b0
13839880c
145454bac
1537a3210
hex2626af4

40004340 has 96 divisors (see below), whose sum is σ = 117694080. Its totient is φ = 10139136.

The previous prime is 40004333. The next prime is 40004351. The reversal of 40004340 is 4340004.

40004340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×400043404 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 144282 + ... + 144558.

It is an arithmetic number, because the mean of its divisors is an integer number (1225980).

Almost surely, 240004340 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 40004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58847040).

40004340 is an abundant number, since it is smaller than the sum of its proper divisors (77689740).

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

40004340 is a wasteful number, since it uses less digits than its factorization.

40004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40004340 is about 6324.8984181566. The cubic root of 40004340 is about 342.0075577140.

Adding to 40004340 its reverse (4340004), we get a palindrome (44344344).

The spelling of 40004340 in words is "forty million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 277 290 332 348 415 435 498 554 580 830 831 870 996 1108 1245 1385 1660 1662 1740 2407 2490 2770 3324 4155 4814 4980 5540 7221 8033 8310 9628 12035 14442 16066 16620 22991 24070 24099 28884 32132 36105 40165 45982 48140 48198 68973 72210 80330 91964 96396 114955 120495 137946 144420 160660 229910 240990 275892 344865 459820 481980 666739 689730 1333478 1379460 2000217 2666956 3333695 4000434 6667390 8000868 10001085 13334780 20002170 40004340