Search a number
-
+
120442344 = 23311503907
BaseRepresentation
bin1110010110111…
…00110111101000
322101122002211120
413023130313220
5221313123334
615541255240
72661512601
oct713346750
9271562746
10120442344
1161a94130
1234404520
131bc50379
1411dd2da8
15a891949
hex72dcde8

120442344 has 64 divisors (see below), whose sum is σ = 329495040. Its totient is φ = 36384960.

The previous prime is 120442339. The next prime is 120442351. The reversal of 120442344 is 443244021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132339 + ... + 133245.

It is an arithmetic number, because the mean of its divisors is an integer number (5148360).

Almost surely, 2120442344 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 120442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164747520).

120442344 is an abundant number, since it is smaller than the sum of its proper divisors (209052696).

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

120442344 is a wasteful number, since it uses less digits than its factorization.

120442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 120442344 is about 10974.6227270007. The cubic root of 120442344 is about 493.8477350937.

Adding to 120442344 its reverse (443244021), we get a palindrome (563686365).

It can be divided in two parts, 120442 and 344, that added together give a triangular number (120786 = T491).

The spelling of 120442344 in words is "one hundred twenty million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 503 907 1006 1509 1814 2012 2721 3018 3628 4024 5442 5533 6036 7256 9977 10884 11066 12072 16599 19954 21768 22132 29931 33198 39908 44264 59862 66396 79816 119724 132792 239448 456221 912442 1368663 1824884 2737326 3649768 5018431 5474652 10036862 10949304 15055293 20073724 30110586 40147448 60221172 120442344