Search a number
-
+
234195940 = 225113728771
BaseRepresentation
bin11011111010110…
…00101111100100
3121022200101102201
431331120233210
5434423232230
635123344244
75542426666
oct1575305744
9538611381
10234195940
11110219970
1266522084
133969b0a4
1423164536
15158615ca
hexdf58be4

234195940 has 48 divisors (see below), whose sum is σ = 551041344. Its totient is φ = 82857600.

The previous prime is 234195911. The next prime is 234195947. The reversal of 234195940 is 49591432.

234195940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 234195940.

It is not an unprimeable number, because it can be changed into a prime (234195947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6246 + ... + 22525.

It is an arithmetic number, because the mean of its divisors is an integer number (11480028).

Almost surely, 2234195940 is an apocalyptic number.

234195940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234195940 is an abundant number, since it is smaller than the sum of its proper divisors (316845404).

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

234195940 is a wasteful number, since it uses less digits than its factorization.

234195940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28828 (or 28826 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 234195940 is about 15303.4616998900. The cubic root of 234195940 is about 616.3959652703.

The spelling of 234195940 in words is "two hundred thirty-four million, one hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 28771 57542 115084 143855 287710 316481 575420 632962 1064527 1265924 1582405 2129054 3164810 4258108 5322635 6329620 10645270 11709797 21290540 23419594 46839188 58548985 117097970 234195940