Search a number
-
+
340606224114 = 2313178928110271
BaseRepresentation
bin1001111010011011011…
…01101000011011110010
31012120011102200221101120
410331031231220123302
521040030143132424
6420250005243110
733415353064362
oct4751555503362
91176142627346
10340606224114
111214a5374502
1256018403496
1326171678a60
14126b20369a2
158cd74e2a79
hex4f4db686f2

340606224114 has 128 divisors (see below), whose sum is σ = 788366960640. Its totient is φ = 97172275200.

The previous prime is 340606224109. The next prime is 340606224139. The reversal of 340606224114 is 411422606043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33156799 + ... + 33167069.

It is an arithmetic number, because the mean of its divisors is an integer number (6159116880).

Almost surely, 2340606224114 is an apocalyptic number.

340606224114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340606224114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394183480320).

340606224114 is an abundant number, since it is smaller than the sum of its proper divisors (447760736526).

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

340606224114 is a wasteful number, since it uses less digits than its factorization.

340606224114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676.

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 340606224114 in words is "three hundred forty billion, six hundred six million, two hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 89 102 178 221 267 281 442 534 562 663 843 1157 1326 1513 1686 2314 3026 3471 3653 4539 4777 6942 7306 9078 9554 10271 10959 14331 19669 20542 21918 25009 28662 30813 39338 50018 59007 61626 62101 75027 118014 124202 133523 150054 174607 186303 267046 325117 349214 372606 400569 425153 523821 650234 801138 850306 914119 975351 1047642 1275459 1828238 1950702 2269891 2550918 2742357 2886151 4539782 5484714 5526989 5772302 6809673 8658453 11053978 11883547 13619346 15540023 16580967 17316906 23767094 31080046 33161934 35650641 37519963 46620069 49064567 71301282 75039926 93240138 98129134 112559889 147193701 202020299 225119778 256867439 294387402 404040598 513734878 606060897 637839371 770602317 1212121794 1275678742 1541204634 1913518113 3339276707 3827036226 4366746463 6678553414 8733492926 10017830121 13100239389 20035660242 26200478778 56767704019 113535408038 170303112057 340606224114