Search a number
-
+
342014311232 = 26111728577399
BaseRepresentation
bin1001111101000011010…
…01000011101101000000
31012200210120021011210022
410332201221003231000
521100421130424412
6421041425353012
733465301451546
oct4764151035500
91180716234708
10342014311232
11122058187170
125634ba98768
13263372c94b9
14127a7051d96
158d6ae33a72
hex4fa1a43b40

342014311232 has 56 divisors (see below), whose sum is σ = 783935236800. Its totient is φ = 146316277760.

The previous prime is 342014311201. The next prime is 342014311277. The reversal of 342014311232 is 232113410243.

It is a super-2 number, since 2×3420143112322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14276732 + ... + 14300667.

Almost surely, 2342014311232 is an apocalyptic number.

342014311232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342014311232 is an abundant number, since it is smaller than the sum of its proper divisors (441920925568).

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

342014311232 is a wasteful number, since it uses less digits than its factorization.

342014311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28577439 (or 28577429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 342014311232 its reverse (232113410243), we get a palindrome (574127721475).

The spelling of 342014311232 in words is "three hundred forty-two billion, fourteen million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 28577399 57154798 114309596 228619192 314351389 457238384 485815783 628702778 914476768 971631566 1257405556 1828953536 1943263132 2514811112 3886526264 5029622224 5343973613 7773052528 10059244448 10687947226 15546105056 20118488896 21375894452 31092210112 42751788904 85503577808 171007155616 342014311232