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340111857664 = 211615934591
BaseRepresentation
bin1001111001100000011…
…11110001100000000000
31012111212222110112010001
410330300033301200000
521033022113421124
6420124545245344
733400201042645
oct4746017614000
91174788415101
10340111857664
11121271305697
1255aba933854
13260c3116c27
1412666509dcc
158ca8dddb44
hex4f303f1800

340111857664 has 96 divisors (see below), whose sum is σ = 692522550720. Its totient is φ = 166949683200.

The previous prime is 340111857643. The next prime is 340111857677. The reversal of 340111857664 is 466758111043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74080009 + ... + 74084599.

It is an arithmetic number, because the mean of its divisors is an integer number (7213776570).

Almost surely, 2340111857664 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 340111857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346261275360).

340111857664 is an abundant number, since it is smaller than the sum of its proper divisors (352410693056).

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

340111857664 is an equidigital number, since it uses as much as digits as its factorization.

340111857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 340111857664 in words is "three hundred forty billion, one hundred eleven million, eight hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 593 976 1024 1186 1952 2048 2372 3904 4591 4744 7808 9182 9488 15616 18364 18976 31232 36173 36728 37952 62464 72346 73456 75904 124928 144692 146912 151808 280051 289384 293824 303616 560102 578768 587648 607232 1120204 1157536 1175296 1214464 2240408 2315072 2350592 2722463 4480816 4630144 4701184 5444926 8961632 9260288 9402368 10889852 17923264 18520576 21779704 35846528 37041152 43559408 71693056 74082304 87118816 143386112 166070243 174237632 286772224 332140486 348475264 573544448 664280972 696950528 1328561944 1393901056 2657123888 2787802112 5314247776 5575604224 10628495552 21256991104 42513982208 85027964416 170055928832 340111857664