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349245311168 = 261337101112327
BaseRepresentation
bin1010001010100001010…
…01001000100011000000
31020101110111200000220202
411011100221020203000
521210223244424133
6424235135024332
734142424110165
oct5052051104300
91211414600822
10349245311168
11125128967476
125782966b0a8
1326c1a4218a0
1412c9154006c
159140b7c2e8
hex5150a488c0

349245311168 has 112 divisors (see below), whose sum is σ = 774111557184. Its totient is φ = 155279462400.

The previous prime is 349245311167. The next prime is 349245311171. The reversal of 349245311168 is 861113542943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (349245311167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3053021 + ... + 3165347.

It is an arithmetic number, because the mean of its divisors is an integer number (6911710332).

Almost surely, 2349245311168 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 349245311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387055778592).

349245311168 is an abundant number, since it is smaller than the sum of its proper divisors (424866246016).

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

349245311168 is a wasteful number, since it uses less digits than its factorization.

349245311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112490 (or 112480 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The spelling of 349245311168 in words is "three hundred forty-nine billion, two hundred forty-five million, three hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 101 104 148 202 208 296 404 416 481 592 808 832 962 1184 1313 1616 1924 2368 2626 3232 3737 3848 5252 6464 7474 7696 10504 14948 15392 21008 29896 30784 42016 48581 59792 84032 97162 112327 119584 194324 224654 239168 388648 449308 777296 898616 1460251 1554592 1797232 2920502 3109184 3594464 4156099 5841004 7188928 8312198 11345027 11682008 16624396 22690054 23364016 33248792 45380108 46728032 54029287 66497584 90760216 93456064 108058574 132995168 147485351 181520432 216117148 265990336 294970702 363040864 419765999 432234296 589941404 726081728 839531998 864468592 1179882808 1679063996 1728937184 2359765616 3358127992 3457874368 4719531232 5456957987 6716255984 9439062464 10913915974 13432511968 21827831948 26865023936 43655663896 87311327792 174622655584 349245311168