Search a number
-
+
342435240 = 233257135887
BaseRepresentation
bin10100011010010…
…010010110101000
3212212100111211200
4110122102112220
51200130411430
653551324200
711325436320
oct2432222650
9785314750
10342435240
11166328734
1296820660
1355c37c04
143369c280
15200e2460
hex146925a8

342435240 has 96 divisors (see below), whose sum is σ = 1271911680. Its totient is φ = 78270336.

The previous prime is 342435229. The next prime is 342435241. The reversal of 342435240 is 42534243.

It is not an unprimeable number, because it can be changed into a prime (342435241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65424 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (13249080).

Almost surely, 2342435240 is an apocalyptic number.

342435240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342435240 is an abundant number, since it is smaller than the sum of its proper divisors (929476440).

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

342435240 is a wasteful number, since it uses less digits than its factorization.

342435240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135911 (or 135904 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 342435240 is about 18505.0058092398. The cubic root of 342435240 is about 699.6155984703.

Adding to 342435240 its reverse (42534243), we get a palindrome (384969483).

The spelling of 342435240 in words is "three hundred forty-two million, four hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 135887 271774 407661 543548 679435 815322 951209 1087096 1222983 1358870 1630644 1902418 2038305 2445966 2717740 2853627 3261288 3804836 4076610 4756045 4891932 5435480 5707254 6114915 7609672 8153220 8560881 9512090 9783864 11414508 12229830 14268135 16306440 17121762 19024180 22829016 24459660 28536270 34243524 38048360 42804405 48919320 57072540 68487048 85608810 114145080 171217620 342435240