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344138147952 = 24329793129439
BaseRepresentation
bin1010000001000000011…
…10110110100001110000
31012220021120122021001120
411000200032312201300
521114243331213302
6422032254502240
733602030664414
oct5004016664160
91186246567046
10344138147952
11122a48016125
1256843204980
13265b5311c11
1412929144d44
158e426089bc
hex50203b6870

344138147952 has 80 divisors (see below), whose sum is σ = 931321344000. Its totient is φ = 109355081472.

The previous prime is 344138147909. The next prime is 344138147971. The reversal of 344138147952 is 259741831443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344138147895 and 344138147904.

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, 1454752 + ... + 1674687.

It is an arithmetic number, because the mean of its divisors is an integer number (11641516800).

Almost surely, 2344138147952 is an apocalyptic number.

It is an amenable number.

344138147952 is an abundant number, since it is smaller than the sum of its proper divisors (587183196048).

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

344138147952 is a wasteful number, since it uses less digits than its factorization.

344138147952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129558 (or 3129552 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 344138147952 in words is "three hundred forty-four billion, one hundred thirty-eight million, one hundred forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1896 2291 3792 4582 6873 9164 13746 18328 27492 36656 54984 109968 3129439 6258878 9388317 12517756 18776634 25035512 37553268 50071024 75106536 90753731 150213072 181507462 247225681 272261193 363014924 494451362 544522386 726029848 741677043 988902724 1089044772 1452059696 1483354086 1977805448 2178089544 2966708172 3955610896 4356179088 5933416344 7169544749 11866832688 14339089498 21508634247 28678178996 43017268494 57356357992 86034536988 114712715984 172069073976 344138147952