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341664768 = 21032131283
BaseRepresentation
bin10100010111010…
…110010000000000
3212210220100221200
4110113112100000
51144431233033
653523021200
711316050124
oct2427262000
9783810850
10341664768
11165951885
129650a800
1355a28303
143353b584
151eede013
hex145d6400

341664768 has 132 divisors (see below), whose sum is σ = 997593168. Its totient is φ = 112619520.

The previous prime is 341664649. The next prime is 341664773. The reversal of 341664768 is 867466143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207155 + ... + 1207437.

It is an arithmetic number, because the mean of its divisors is an integer number (7557524).

Almost surely, 2341664768 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 341664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498796584).

341664768 is an abundant number, since it is smaller than the sum of its proper divisors (655928400).

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

341664768 is a wasteful number, since it uses less digits than its factorization.

341664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 341664768 is about 18484.1761515086. The cubic root of 341664768 is about 699.0904977171.

The spelling of 341664768 in words is "three hundred forty-one million, six hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 283 288 384 393 512 524 566 576 768 786 849 1024 1048 1132 1152 1179 1536 1572 1698 2096 2264 2304 2358 2547 3072 3144 3396 4192 4528 4608 4716 5094 6288 6792 8384 9056 9216 9432 10188 12576 13584 16768 18112 18864 20376 25152 27168 33536 36224 37073 37728 40752 50304 54336 67072 72448 74146 75456 81504 100608 108672 111219 134144 144896 148292 150912 163008 201216 217344 222438 289792 296584 301824 326016 333657 402432 434688 444876 593168 603648 652032 667314 869376 889752 1186336 1207296 1304064 1334628 1779504 2372672 2608128 2669256 3559008 4745344 5338512 7118016 9490688 10677024 14236032 18981376 21354048 28472064 37962752 42708096 56944128 85416192 113888256 170832384 341664768