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340110324312 = 233115926981173
BaseRepresentation
bin1001111001100000010…
…01111011001001011000
31012111212212120121202020
410330300021323021120
521033021220334222
6420124452334440
733400152025353
oct4746011731130
91174785517666
10340110324312
11121270458660
1255aba314420
13260c29cb015
141266622b29a
158ca8bd965c
hex4f3027b258

340110324312 has 128 divisors (see below), whose sum is σ = 946813536000. Its totient is φ = 100939005440.

The previous prime is 340110324289. The next prime is 340110324317. The reversal of 340110324312 is 213423011043.

It is a happy number.

It is a super-2 number, since 2×3401103243122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340110324317) 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, 4149358 + ... + 4230530.

It is an arithmetic number, because the mean of its divisors is an integer number (7396980750).

Almost surely, 2340110324312 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 340110324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473406768000).

340110324312 is an abundant number, since it is smaller than the sum of its proper divisors (606703211688).

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

340110324312 is a wasteful number, since it uses less digits than its factorization.

340110324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81521 (or 81517 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 340110324312 its reverse (213423011043), we get a palindrome (553533335355).

The spelling of 340110324312 in words is "three hundred forty billion, one hundred ten million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 269 354 472 538 649 708 807 1076 1298 1416 1614 1947 2152 2596 2959 3228 3894 5192 5918 6456 7788 8877 11836 15576 15871 17754 23672 31742 35508 47613 63484 71016 81173 95226 126968 162346 174581 190452 243519 324692 349162 380904 487038 523743 649384 698324 892903 974076 1047486 1396648 1785806 1948152 2094972 2678709 3571612 4189944 4789207 5357418 7143224 9578414 10714836 14367621 19156828 21429672 21835537 28735242 38313656 43671074 52681277 57470484 65506611 87342148 105362554 114940968 131013222 158043831 174684296 210725108 240190907 262026444 316087662 421450216 480381814 524052888 632175324 720572721 960763628 1264350648 1288296683 1441145442 1921527256 2576593366 2882290884 3864890049 5153186732 5764581768 7729780098 10306373464 14171263513 15459560196 28342527026 30919120392 42513790539 56685054052 85027581078 113370108104 170055162156 340110324312