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341055146168 = 23112371233427
BaseRepresentation
bin1001111011010000111…
…10001000100010111000
31012121022201102112200022
410331220132020202320
521041440104134133
6420402323230012
733432443624132
oct4755036104270
91177281375608
10341055146168
11121705814270
1256122818308
1326213688bc9
14127158d4052
158d11b1b998
hex4f687888b8

341055146168 has 96 divisors (see below), whose sum is σ = 738363012480. Its totient is φ = 146191953600.

The previous prime is 341055146153. The next prime is 341055146177. The reversal of 341055146168 is 861641550143.

It is a happy number.

It is a super-2 number, since 2×3410551461682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10186271 + ... + 10219697.

It is an arithmetic number, because the mean of its divisors is an integer number (7691281380).

Almost surely, 2341055146168 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 341055146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369181506240).

341055146168 is an abundant number, since it is smaller than the sum of its proper divisors (397307866312).

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

341055146168 is a wasteful number, since it uses less digits than its factorization.

341055146168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33609 (or 33534 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 341055146168 in words is "three hundred forty-one billion, fifty-five million, one hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 71 88 92 142 184 253 284 506 568 781 1012 1562 1633 2024 3124 3266 5041 6248 6532 10082 13064 17963 20164 33427 35926 40328 55451 66854 71852 110902 115943 133708 143704 221804 231886 267416 367697 443608 463772 735394 768821 927544 1275373 1470788 1537642 2373317 2550746 2941576 3075284 4746634 5101492 6150568 8457031 9493268 10202984 16914062 18986536 26106487 33828124 52212974 54586291 67656248 104425948 109172582 168505507 208851896 218345164 337011014 436690328 600449201 674022028 1200898402 1348044056 1853560577 2401796804 3707121154 3875626661 4803593608 7414242308 7751253322 14828484616 15502506644 31005013288 42631893271 85263786542 170527573084 341055146168