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340386640 = 24511613631
BaseRepresentation
bin10100010010011…
…110001101010000
3212201111102200121
4110102132031100
51144114333030
653435400024
711302144606
oct2422361520
9781442617
10340386640
11165159580
1295bb3014
135569b619
14332c7876
151ed3a47a
hex1449e350

340386640 has 80 divisors (see below), whose sum is σ = 866123136. Its totient is φ = 123379200.

The previous prime is 340386619. The next prime is 340386661. The reversal of 340386640 is 46683043.

It is an interprime number because it is at equal distance from previous prime (340386619) and next prime (340386661).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 340386596 and 340386605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539125 + ... + 539755.

Almost surely, 2340386640 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 340386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433061568).

340386640 is an abundant number, since it is smaller than the sum of its proper divisors (525736496).

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

340386640 is a wasteful number, since it uses less digits than its factorization.

340386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 340386640 is about 18449.5701846954. The cubic root of 340386640 is about 698.2176697890.

The spelling of 340386640 in words is "three hundred forty million, three hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 613 631 880 1226 1262 2452 2524 3065 3155 4904 5048 6130 6310 6743 6941 9808 10096 12260 12620 13486 13882 24520 25240 26972 27764 33715 34705 49040 50480 53944 55528 67430 69410 107888 111056 134860 138820 269720 277640 386803 539440 555280 773606 1547212 1934015 3094424 3868030 4254833 6188848 7736060 8509666 15472120 17019332 21274165 30944240 34038664 42548330 68077328 85096660 170193320 340386640