Search a number
-
+
342122304 = 2637125097
BaseRepresentation
bin10100011001000…
…101111101000000
3212211202121120110
4110121011331000
51200040403204
653540511320
711322664056
oct2431057500
9784677513
10342122304
11166134607
12966ab540
1355b58644
143361a1d6
152007e889
hex14645f40

342122304 has 56 divisors (see below), whose sum is σ = 917984448. Its totient is φ = 112430080.

The previous prime is 342122273. The next prime is 342122317. The reversal of 342122304 is 403221243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 26180.

Almost surely, 2342122304 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 342122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458992224).

342122304 is an abundant number, since it is smaller than the sum of its proper divisors (575862144).

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

342122304 is a wasteful number, since it uses less digits than its factorization.

342122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25183 (or 25173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 342122304 is about 18496.5484347756. The cubic root of 342122304 is about 699.4024178872.

Adding to 342122304 its reverse (403221243), we get a palindrome (745343547).

The spelling of 342122304 in words is "three hundred forty-two million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 13632 25097 50194 75291 100388 150582 200776 301164 401552 602328 803104 1204656 1606208 1781887 2409312 3563774 4818624 5345661 7127548 10691322 14255096 21382644 28510192 42765288 57020384 85530576 114040768 171061152 342122304