Search a number
-
+
30714944 = 2613192967
BaseRepresentation
bin111010100101…
…0110001000000
32010210110222112
41311022301000
530330334234
63014154452
7522033641
oct165126100
963713875
1030714944
1116379657
12a352a28
136495530
1441176c8
152a6aace
hex1d4ac40

30714944 has 112 divisors (see below), whose sum is σ = 72542400. Its totient is φ = 12773376.

The previous prime is 30714941. The next prime is 30714977. The reversal of 30714944 is 44941703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30714944.

It is not an unprimeable number, because it can be changed into a prime (30714941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458399 + ... + 458465.

It is an arithmetic number, because the mean of its divisors is an integer number (647700).

Almost surely, 230714944 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 30714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271200).

30714944 is an abundant number, since it is smaller than the sum of its proper divisors (41827456).

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

30714944 is a wasteful number, since it uses less digits than its factorization.

30714944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 30714944 is about 5542.1064587393. The cubic root of 30714944 is about 313.1722284317.

It can be divided in two parts, 307 and 14944, that added together give a palindrome (15251).

The spelling of 30714944 in words is "thirty million, seven hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 29 32 38 52 58 64 67 76 104 116 134 152 208 232 247 268 304 377 416 464 494 536 551 608 754 832 871 928 988 1072 1102 1216 1273 1508 1742 1856 1943 1976 2144 2204 2546 3016 3484 3886 3952 4288 4408 5092 6032 6968 7163 7772 7904 8816 10184 12064 13936 14326 15544 15808 16549 17632 20368 24128 25259 27872 28652 31088 33098 35264 36917 40736 50518 55744 57304 62176 66196 73834 81472 101036 114608 124352 132392 147668 202072 229216 264784 295336 404144 458432 479921 529568 590672 808288 959842 1059136 1181344 1616576 1919684 2362688 3839368 7678736 15357472 30714944