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342414214524 = 2232431109199457
BaseRepresentation
bin1001111101110010111…
…10100100010101111100
31012201211102202100222100
410332321132210111330
521102231014331044
6421145232545100
733511225541424
oct4767136442574
91181742670870
10342414214524
11122242996458
12564419b2190
132639c105a75
14128041cd484
158d910c8869
hex4fb97a457c

342414214524 has 72 divisors (see below), whose sum is σ = 886479113520. Its totient is φ = 111382612992.

The previous prime is 342414214517. The next prime is 342414214559. The reversal of 342414214524 is 425412414243.

342414214524 is a `hidden beast` number, since 3 + 4 + 2 + 414 + 214 + 5 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617004 + ... + 1816460.

It is an arithmetic number, because the mean of its divisors is an integer number (12312209910).

Almost surely, 2342414214524 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 342414214524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443239556760).

342414214524 is an abundant number, since it is smaller than the sum of its proper divisors (544064898996).

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

342414214524 is a wasteful number, since it uses less digits than its factorization.

342414214524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200619 (or 200614 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 342414214524 its reverse (425412414243), we get a palindrome (767826628767).

The spelling of 342414214524 in words is "three hundred forty-two billion, four hundred fourteen million, two hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1109 1548 2218 3327 4436 6654 9981 13308 19962 39924 47687 95374 143061 190748 199457 286122 398914 429183 572244 598371 797828 858366 1196742 1716732 1795113 2393484 3590226 7180452 8576651 17153302 25729953 34306604 51459906 77189859 102919812 154379718 221197813 308759436 442395626 663593439 884791252 1327186878 1990780317 2654373756 3981560634 7963121268 9511505959 19023011918 28534517877 38046023836 57069035754 85603553631 114138071508 171207107262 342414214524