Search a number
-
+
342040300 = 225274431103
BaseRepresentation
bin10100011000110…
…001111011101100
3212211121110002021
4110120301323230
51200030242200
653535035524
711322203020
oct2430617354
9784543067
10342040300
11166088a38
129666bba4
1355b2a214
14335d8380
152006541a
hex14631eec

342040300 has 72 divisors (see below), whose sum is σ = 850945536. Its totient is φ = 116900160.

The previous prime is 342040273. The next prime is 342040331. The reversal of 342040300 is 3040243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309549 + ... + 310651.

It is an arithmetic number, because the mean of its divisors is an integer number (11818688).

Almost surely, 2342040300 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 342040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425472768).

342040300 is an abundant number, since it is smaller than the sum of its proper divisors (508905236).

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

342040300 is a wasteful number, since it uses less digits than its factorization.

342040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 342040300 is about 18494.3315640225. The cubic root of 342040300 is about 699.3465330197.

Adding to 342040300 its reverse (3040243), we get a palindrome (345080543).

The spelling of 342040300 in words is "three hundred forty-two million, forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 443 700 886 1103 1772 2206 2215 3101 4412 4430 5515 6202 7721 8860 11030 11075 12404 15442 15505 22060 22150 27575 30884 31010 38605 44300 55150 62020 77210 77525 110300 154420 155050 193025 310100 386050 488629 772100 977258 1954516 2443145 3420403 4886290 6840806 9772580 12215725 13681612 17102015 24431450 34204030 48862900 68408060 85510075 171020150 342040300