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340536214656 = 27321161440543
BaseRepresentation
bin1001111010010011000…
…10100100010010000000
31012112222112222002110200
410331021202210102000
521034404232332111
6420235024525200
733413543031231
oct4751142442200
91175875862420
10340536214656
111214698a7350
1255bb8a80800
1326160005b41
14126a6a11088
158cd12b4256
hex4f498a4480

340536214656 has 192 divisors, whose sum is σ = 1086540099840. Its totient is φ = 101500876800.

The previous prime is 340536214643. The next prime is 340536214661. The reversal of 340536214656 is 656412635043.

340536214656 is a `hidden beast` number, since 3 + 4 + 0 + 536 + 21 + 46 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 552721 + ... + 993263.

It is an arithmetic number, because the mean of its divisors is an integer number (5659063020).

Almost surely, 2340536214656 is an apocalyptic number.

340536214656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340536214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543270049920).

340536214656 is an abundant number, since it is smaller than the sum of its proper divisors (746003885184).

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

340536214656 is a wasteful number, since it uses less digits than its factorization.

340536214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440635 (or 440620 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 340536214656 its reverse (656412635043), we get a palindrome (996948849699).

The spelling of 340536214656 in words is "three hundred forty billion, five hundred thirty-six million, two hundred fourteen thousand, six hundred fifty-six".