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344330201424 = 24311288367141
BaseRepresentation
bin1010000001010111010…
…11011110100101010000
31012220202222000120220010
411000223223132211100
521120142012421144
6422103315114520
733606552264156
oct5005353364520
91186688016803
10344330201424
11123036470800
12568975a2a40
1326616046221
14129468593d6
158e543e35b9
hex502bade950

344330201424 has 120 divisors (see below), whose sum is σ = 978858383776. Its totient is φ = 104222764800.

The previous prime is 344330201419. The next prime is 344330201447. The reversal of 344330201424 is 424102033443.

It is a happy number.

It is a super-2 number, since 2×3443302014242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344330201391 and 344330201400.

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, 5094894 + ... + 5162034.

Almost surely, 2344330201424 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 344330201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489429191888).

344330201424 is an abundant number, since it is smaller than the sum of its proper divisors (634528182352).

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

344330201424 is a wasteful number, since it uses less digits than its factorization.

344330201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68057 (or 68040 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 344330201424 its reverse (424102033443), we get a palindrome (768432234867).

The spelling of 344330201424 in words is "three hundred forty-four billion, three hundred thirty million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 883 968 1452 1766 1936 2649 2904 3532 5298 5808 7064 9713 10596 14128 19426 21192 29139 38852 42384 58278 67141 77704 106843 116556 134282 155408 201423 213686 233112 268564 320529 402846 427372 466224 537128 641058 738551 805692 854744 1074256 1282116 1477102 1611384 1709488 2215653 2564232 2954204 3222768 4431306 5128464 5908408 8124061 8862612 11816816 16248122 17725224 24372183 32496244 35450448 48744366 59285503 64992488 97488732 118571006 129984976 177856509 194977464 237142012 355713018 389954928 474284024 652140533 711426036 948568048 1304281066 1422852072 1956421599 2608562132 2845704144 3912843198 5217124264 7173545863 7825686396 10434248528 14347091726 15651372792 21520637589 28694183452 31302745584 43041275178 57388366904 86082550356 114776733808 172165100712 344330201424