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342542500 = 2254181757
BaseRepresentation
bin10100011010101…
…100100010100100
3212212112221222021
4110122230202210
51200142330000
653553512524
711326364116
oct2432544244
9785487867
10342542500
111663a1283
1296872744
1355c74991
14336c93b6
152011411a
hex146ac8a4

342542500 has 60 divisors (see below), whose sum is σ = 754205452. Its totient is φ = 136080000.

The previous prime is 342542489. The next prime is 342542513. The reversal of 342542500 is 5245243.

It can be written as a sum of positive squares in 10 ways, for example, as 326091364 + 16451136 = 18058^2 + 4056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 452122 + ... + 452878.

Almost surely, 2342542500 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 342542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377102726).

342542500 is an abundant number, since it is smaller than the sum of its proper divisors (411662952).

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

342542500 is a wasteful number, since it uses less digits than its factorization.

342542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 342542500 is about 18507.9037170610. The cubic root of 342542500 is about 699.6886370352.

Adding to 342542500 its reverse (5245243), we get a palindrome (347787743).

The spelling of 342542500 in words is "three hundred forty-two million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 181 250 362 500 625 724 757 905 1250 1514 1810 2500 3028 3620 3785 4525 7570 9050 15140 18100 18925 22625 37850 45250 75700 90500 94625 113125 137017 189250 226250 274034 378500 452500 473125 548068 685085 946250 1370170 1892500 2740340 3425425 6850850 13701700 17127125 34254250 68508500 85635625 171271250 342542500