Search a number
-
+
241100340 = 2235131033001
BaseRepresentation
bin11100101111011…
…10011000110100
3121210200011111020
432113232120310
5443210202330
635531341140
75655214305
oct1627563064
9553604436
10241100340
11114105288
12688b17b0
133ac47930
14240407ac
1516277210
hexe5ee634

241100340 has 96 divisors (see below), whose sum is σ = 734313216. Its totient is φ = 58752000.

The previous prime is 241100317. The next prime is 241100351. The reversal of 241100340 is 43001142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78840 + ... + 81840.

It is an arithmetic number, because the mean of its divisors is an integer number (7649096).

Almost surely, 2241100340 is an apocalyptic number.

241100340 is a gapful number since it is divisible by the number (20) 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 241100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367156608).

241100340 is an abundant number, since it is smaller than the sum of its proper divisors (493212876).

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

241100340 is a wasteful number, since it uses less digits than its factorization.

241100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 241100340 is about 15527.4060937428. The cubic root of 241100340 is about 622.3947790737.

Adding to 241100340 its reverse (43001142), we get a palindrome (284101482).

The spelling of 241100340 in words is "two hundred forty-one million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3001 3090 4017 5356 6002 6180 6695 8034 9003 12004 13390 15005 16068 18006 20085 26780 30010 36012 39013 40170 45015 60020 78026 80340 90030 117039 156052 180060 195065 234078 309103 390130 468156 585195 618206 780260 927309 1170390 1236412 1545515 1854618 2340780 3091030 3709236 4018339 4636545 6182060 8036678 9273090 12055017 16073356 18546180 20091695 24110034 40183390 48220068 60275085 80366780 120550170 241100340