Search a number
-
+
2935944 = 2332112337
BaseRepresentation
bin1011001100110010001000
312112011100200
423030302020
51222422234
6142532200
733645414
oct13146210
95464320
102935944
111725900
12b97060
137ba45b
14565d44
153ced99
hex2ccc88

2935944 has 72 divisors (see below), whose sum is σ = 8766030. Its totient is φ = 887040.

The previous prime is 2935939. The next prime is 2935957. The reversal of 2935944 is 4495392.

It can be written as a sum of positive squares in only one way, i.e., 2722500 + 213444 = 1650^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×29359442 = 17239534342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2935899 and 2935908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8544 + ... + 8880.

22935944 is an apocalyptic number.

2935944 is a gapful number since it is divisible by the number (24) 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 2935944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383015).

2935944 is an abundant number, since it is smaller than the sum of its proper divisors (5830086).

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

2935944 is a wasteful number, since it uses less digits than its factorization.

2935944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2935944 is about 1713.4596581186. The cubic root of 2935944 is about 143.1910660968.

It can be divided in two parts, 29359 and 44, that added together give a triangular number (29403 = T242).

The spelling of 2935944 in words is "two million, nine hundred thirty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 337 363 396 484 674 726 792 968 1011 1089 1348 1452 2022 2178 2696 2904 3033 3707 4044 4356 6066 7414 8088 8712 11121 12132 14828 22242 24264 29656 33363 40777 44484 66726 81554 88968 122331 133452 163108 244662 266904 326216 366993 489324 733986 978648 1467972 2935944