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342115540 = 225131797351
BaseRepresentation
bin10100011001000…
…100010011010100
3212211202021021221
4110121010103110
51200040144130
653540420124
711322635254
oct2431042324
9784667257
10342115540
1116612a518
12966a7644
1355b55540
1433617964
152007c87a
hex146444d4

342115540 has 48 divisors (see below), whose sum is σ = 778135680. Its totient is φ = 125596800.

The previous prime is 342115537. The next prime is 342115567. The reversal of 342115540 is 45511243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42865 + ... + 50215.

It is an arithmetic number, because the mean of its divisors is an integer number (16211160).

Almost surely, 2342115540 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 342115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389067840).

342115540 is an abundant number, since it is smaller than the sum of its proper divisors (436020140).

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

342115540 is a wasteful number, since it uses less digits than its factorization.

342115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 342115540 is about 18496.3655889475. The cubic root of 342115540 is about 699.3978086300.

Adding to 342115540 its reverse (45511243), we get a palindrome (387626783).

The spelling of 342115540 in words is "three hundred forty-two million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 716 895 1790 2327 3580 4654 7351 9308 11635 14702 23270 29404 36755 46540 73510 95563 147020 191126 382252 477815 955630 1315829 1911260 2631658 5263316 6579145 13158290 17105777 26316580 34211554 68423108 85528885 171057770 342115540