Search a number
-
+
342180672 = 26312714033
BaseRepresentation
bin10100011001010…
…100001101000000
3212211212120122020
4110121110031000
51200044240142
653542041440
711323326201
oct2431241500
9784776566
10342180672
11166174449
1296719280
1355b79092
14336335a8
1520091cec
hex14654340

342180672 has 56 divisors (see below), whose sum is σ = 912546816. Its totient is φ = 113154048.

The previous prime is 342180661. The next prime is 342180673. The reversal of 342180672 is 276081243.

It is a super-2 number, since 2×3421806722 = 234175224580743168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342180673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17368 + ... + 31400.

Almost surely, 2342180672 is an apocalyptic number.

342180672 is a gapful number since it is divisible by the number (32) 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 342180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456273408).

342180672 is an abundant number, since it is smaller than the sum of its proper divisors (570366144).

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

342180672 is a wasteful number, since it uses less digits than its factorization.

342180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 342180672 is about 18498.1261753725. The cubic root of 342180672 is about 699.4421896282.

The spelling of 342180672 in words is "three hundred forty-two million, one hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 12192 14033 24384 28066 42099 56132 84198 112264 168396 224528 336792 449056 673584 898112 1347168 1782191 2694336 3564382 5346573 7128764 10693146 14257528 21386292 28515056 42772584 57030112 85545168 114060224 171090336 342180672