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344141032312 = 237111739238377
BaseRepresentation
bin1010000001000000110…
…01110110101101111000
31012220021210001210122201
411000200121312231320
521114300101013222
6422032440355544
733602064336550
oct5004031665570
91186253053581
10344141032312
11122a497061a0
1256844175bb4
13265b5ab1a3c
1412929696160
158e429c8427
hex5020676b78

344141032312 has 128 divisors (see below), whose sum is σ = 852127050240. Its totient is φ = 126146580480.

The previous prime is 344141032273. The next prime is 344141032331. The reversal of 344141032312 is 213230141443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41077468 + ... + 41085844.

It is an arithmetic number, because the mean of its divisors is an integer number (6657242580).

Almost surely, 2344141032312 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 344141032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426063525120).

344141032312 is an abundant number, since it is smaller than the sum of its proper divisors (507986017928).

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

344141032312 is a wasteful number, since it uses less digits than its factorization.

344141032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12341 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344141032312 its reverse (213230141443), we get a palindrome (557371173755).

The spelling of 344141032312 in words is "three hundred forty-four billion, one hundred forty-one million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 3923 5236 7846 8377 10472 15692 16754 27461 31384 33508 43153 54922 58639 66691 67016 86306 92147 109844 117278 133382 142409 172612 184294 219688 234556 266764 284818 302071 345224 368588 466837 469112 533528 569636 604142 645029 733601 737176 933674 996863 1139272 1208284 1290058 1467202 1566499 1867348 1993726 2416568 2580116 2934404 3132998 3734696 3987452 5135207 5160232 5868808 6265996 7974904 10270414 10965493 12531992 20540828 21930986 32862971 41081656 43861972 65725942 87723944 131451884 230040797 262903768 361492681 460081594 558670507 722985362 920163188 1117341014 1445970724 1840326376 2234682028 2530448767 2891941448 3910693549 4469364056 5060897534 6145375577 7821387098 10121795068 12290751154 15642774196 20243590136 24581502308 31285548392 43017629039 49163004616 86035258078 172070516156 344141032312