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348744578116 = 2211217215792
BaseRepresentation
bin1010001001100101100…
…10111111010001000100
31020100011121110011022011
411010302302333101010
521203212102444431
6424113330344004
734124134001104
oct5046262772104
91210147404264
10348744578116
111249a124a300
1257709a2b004
1326b6a770c3c
1412c44c37204
159111c1bcb1
hex5132cbf444

348744578116 has 81 divisors (see below), whose sum is σ = 713062253757. Its totient is φ = 149101054080.

The previous prime is 348744578111. The next prime is 348744578137. The reversal of 348744578116 is 611875447843.

The square root of 348744578116 is 590546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 271513944900 + 77230633216 = 521070^2 + 277904^2 .

It is a super-2 number, since 2×3487445781162 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348744578111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220863415 + ... + 220864993.

Almost surely, 2348744578116 is an apocalyptic number.

348744578116 is the 590546-th square number.

It is an amenable number.

348744578116 is an abundant number, since it is smaller than the sum of its proper divisors (364317675641).

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

348744578116 is a wasteful number, since it uses less digits than its factorization.

348744578116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 1609 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 58.

The spelling of 348744578116 in words is "three hundred forty-eight billion, seven hundred forty-four million, five hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 1579 2057 3158 3179 4114 6316 6358 8228 12716 17369 26843 34738 34969 53686 69476 69938 107372 139876 191059 295273 382118 456331 590546 764236 912662 1181092 1825324 2493241 3248003 4986482 5019641 6496006 9972964 10039282 12992012 20078564 27425651 42385097 54851302 55216051 84770194 109702604 110432102 169540388 220864204 301682161 466236067 603364322 720546649 932472134 1206728644 1441093298 1864944268 2882186596 5128596737 7926013139 10257193474 15852026278 20514386948 31704052556 87186144529 174372289058 348744578116