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340442303424 = 26318175712941
BaseRepresentation
bin1001111010000111111…
…00010100101111000000
31012112202000020220110220
410331003330110233000
521034211212202144
6420221432023040
733411322555446
oct4750374245700
91175660226426
10340442303424
11121420894463
1255b91531a80
1326146714872
1412698366b96
158cc7e13919
hex4f43f14bc0

340442303424 has 112 divisors (see below), whose sum is σ = 906996688416. Its totient is φ = 112696012800.

The previous prime is 340442303423. The next prime is 340442303479. The reversal of 340442303424 is 424303244043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340442303423) 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 15 ways as a sum of consecutive naturals, for example, 26300794 + ... + 26313734.

It is an arithmetic number, because the mean of its divisors is an integer number (8098184718).

Almost surely, 2340442303424 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 340442303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453498344208).

340442303424 is an abundant number, since it is smaller than the sum of its proper divisors (566554384992).

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

340442303424 is a wasteful number, since it uses less digits than its factorization.

340442303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13894 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 340442303424 its reverse (424303244043), we get a palindrome (764745547467).

The spelling of 340442303424 in words is "three hundred forty billion, four hundred forty-two million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 757 1086 1448 1514 2172 2271 2896 3028 4344 4542 5792 6056 8688 9084 11584 12112 12941 17376 18168 24224 25882 34752 36336 38823 48448 51764 72672 77646 103528 137017 145344 155292 207056 274034 310584 411051 414112 548068 621168 822102 828224 1096136 1242336 1644204 2192272 2342321 2484672 3288408 4384544 4684642 6576816 7026963 8769088 9369284 9796337 13153632 14053926 18738568 19592674 26307264 28107852 29389011 37477136 39185348 56215704 58778022 74954272 78370696 112431408 117556044 149908544 156741392 224862816 235112088 313482784 449725632 470224176 626965568 940448352 1773136997 1880896704 3546273994 5319410991 7092547988 10638821982 14185095976 21277643964 28370191952 42555287928 56740383904 85110575856 113480767808 170221151712 340442303424