Search a number
-
+
344660865144 = 23331643727991
BaseRepresentation
bin1010000001111110110…
…00110111000001111000
31012221122000020001020120
411000333120313001320
521121331140141034
6422200210253240
733621006005301
oct5007730670170
91187560201216
10344660865144
11123196089302
125696a287220
13266696bc12b
14129787317a8
158e7345cc49
hex503f637078

344660865144 has 128 divisors (see below), whose sum is σ = 892956180480. Its totient is φ = 110743459200.

The previous prime is 344660865097. The next prime is 344660865149. The reversal of 344660865144 is 441568066443.

It is a super-2 number, since 2×3446608651442 (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 (344660865149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347790489 + ... + 347791479.

It is an arithmetic number, because the mean of its divisors is an integer number (6976220160).

Almost surely, 2344660865144 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 344660865144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446478090240).

344660865144 is an abundant number, since it is smaller than the sum of its proper divisors (548295315336).

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

344660865144 is a wasteful number, since it uses less digits than its factorization.

344660865144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 344660865144 in words is "three hundred forty-four billion, six hundred sixty million, eight hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 643 727 744 991 1286 1454 1929 1982 2181 2572 2908 2973 3858 3964 4362 5144 5816 5946 7716 7928 8724 11892 15432 17448 19933 22537 23784 30721 39866 45074 59799 61442 67611 79732 90148 92163 119598 122884 135222 159464 180296 184326 239196 245768 270444 368652 467461 478392 540888 637213 720457 737304 934922 1274426 1402383 1440914 1869844 1911639 2161371 2548852 2804766 2881828 3739688 3823278 4322742 5097704 5609532 5763656 7646556 8645484 11219064 14491291 15293112 17290968 19753603 22334167 28982582 39507206 43473873 44668334 57965164 59260809 67002501 79014412 86947746 89336668 115930328 118521618 134005002 158028824 173895492 178673336 237043236 268010004 347790984 463253851 474086472 536020008 926507702 1389761553 1853015404 2779523106 3706030808 5559046212 11118092424 14360869381 28721738762 43082608143 57443477524 86165216286 114886955048 172330432572 344660865144