Search a number
-
+
40007340 = 22325474729
BaseRepresentation
bin1001100010011…
…1011010101100
32210021120202100
42120213122230
540220213330
63545255100
7664025322
oct230473254
983246670
1040007340
112064611a
1211494490
138399ca9
145455d12
1537a4060
hex26276ac

40007340 has 72 divisors (see below), whose sum is σ = 123963840. Its totient is φ = 10439424.

The previous prime is 40007321. The next prime is 40007353. The reversal of 40007340 is 4370004.

40007340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 6096 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (1721720).

Almost surely, 240007340 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 40007340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61981920).

40007340 is an abundant number, since it is smaller than the sum of its proper divisors (83956500).

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

40007340 is a wasteful number, since it uses less digits than its factorization.

40007340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40007340 is about 6325.1355716696. The cubic root of 40007340 is about 342.0161067617.

Adding to 40007340 its reverse (4370004), we get a palindrome (44377344).

The spelling of 40007340 in words is "forty million, seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 4729 8460 9458 14187 18916 23645 28374 42561 47290 56748 70935 85122 94580 141870 170244 212805 222263 283740 425610 444526 666789 851220 889052 1111315 1333578 2000367 2222630 2667156 3333945 4000734 4445260 6667890 8001468 10001835 13335780 20003670 40007340