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340397360 = 24529314733
BaseRepresentation
bin10100010010100…
…000110100110000
3212201111222101122
4110102200310300
51144120203420
653435521412
711302221062
oct2422406460
9781458348
10340397360
11165166636
1295bb9268
13556a3474
14332cb732
151ed3d725
hex144a0d30

340397360 has 80 divisors (see below), whose sum is σ = 845303040. Its totient is φ = 127196160.

The previous prime is 340397339. The next prime is 340397363. The reversal of 340397360 is 63793043.

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

It is a self number, because there is not a number n which added to its sum of digits gives 340397360.

It is not an unprimeable number, because it can be changed into a prime (340397363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69554 + ... + 74286.

It is an arithmetic number, because the mean of its divisors is an integer number (10566288).

Almost surely, 2340397360 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 340397360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422651520).

340397360 is an abundant number, since it is smaller than the sum of its proper divisors (504905680).

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

340397360 is a wasteful number, since it uses less digits than its factorization.

340397360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 340397360 is about 18449.8607040812. The cubic root of 340397360 is about 698.2249995076.

The spelling of 340397360 in words is "three hundred forty million, three hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 290 310 464 496 580 620 899 1160 1240 1798 2320 2480 3596 4495 4733 7192 8990 9466 14384 17980 18932 23665 35960 37864 47330 71920 75728 94660 137257 146723 189320 274514 293446 378640 549028 586892 686285 733615 1098056 1173784 1372570 1467230 2196112 2347568 2745140 2934460 4254967 5490280 5868920 8509934 10980560 11737840 17019868 21274835 34039736 42549670 68079472 85099340 170198680 340397360