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7340740040 = 235417956659
BaseRepresentation
bin1101101011000101…
…01100110111001000
3200221120220020020202
412311202230313020
5110013212140130
63212225311332
7346624155314
oct66542546710
920846806222
107340740040
113127724707
12150a495548
138cca9937a
144d8cd6b44
152ce6c4145
hex1b58acdc8

7340740040 has 64 divisors (see below), whose sum is σ = 17133984000. Its totient is φ = 2828367360.

The previous prime is 7340740039. The next prime is 7340740067. The reversal of 7340740040 is 400470437.

It is a junction number, because it is equal to n+sod(n) for n = 7340739985 and 7340740012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101231 + ... + 157889.

It is an arithmetic number, because the mean of its divisors is an integer number (267718500).

Almost surely, 27340740040 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 7340740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566992000).

7340740040 is an abundant number, since it is smaller than the sum of its proper divisors (9793243960).

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

7340740040 is a wasteful number, since it uses less digits than its factorization.

7340740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56790 (or 56786 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 7340740040 is about 85678.1187935403. The cubic root of 7340740040 is about 1943.4794291344.

The spelling of 7340740040 in words is "seven billion, three hundred forty million, seven hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6478 12956 16195 25912 32390 56659 64780 113318 129560 226636 283295 453272 566590 1133180 2266360 2323019 4476061 4646038 8952122 9292076 11615095 17904244 18584152 22380305 23230190 35808488 44760610 46460380 89521220 92920760 179042440 183518501 367037002 734074004 917592505 1468148008 1835185010 3670370020 7340740040