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334312242342 = 2313311033133843
BaseRepresentation
bin1001101110101101000…
…11111111110010100110
31011221220210110112112120
410313112203333302212
520434132413223332
6413325251330410
733103366113321
oct4672643776246
91157823415476
10334312242342
111198655aa881
12549605b0a06
13256aa70b5a0
141227617d7b8
158a69b8932c
hex4dd68ffca6

334312242342 has 64 divisors (see below), whose sum is σ = 744009885696. Its totient is φ = 99449959680.

The previous prime is 334312242337. The next prime is 334312242349. The reversal of 334312242342 is 243242213433.

It is a super-2 number, since 2×3343122423422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334312242349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430873 + ... + 2564715.

It is an arithmetic number, because the mean of its divisors is an integer number (11625154464).

Almost surely, 2334312242342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334312242342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372004942848).

334312242342 is an abundant number, since it is smaller than the sum of its proper divisors (409697643354).

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

334312242342 is a wasteful number, since it uses less digits than its factorization.

334312242342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134925.

The product of its digits is 82944, while the sum is 33.

Adding to 334312242342 its reverse (243242213433), we get a palindrome (577554455775).

The spelling of 334312242342 in words is "three hundred thirty-four billion, three hundred twelve million, two hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1033 1209 2066 2418 3099 6198 13429 26858 32023 40287 64046 80574 96069 133843 192138 267686 401529 416299 803058 832598 1248897 1739959 2497794 3479918 4149133 5219877 8298266 10439754 12447399 24894798 53938729 107877458 138259819 161816187 276519638 323632374 414779457 829558914 1797377647 3594755294 4286054389 5392132941 8572108778 10784265882 12858163167 25716326334 55718707057 111437414114 167156121171 334312242342