Search a number
-
+
30190464 = 273273359
BaseRepresentation
bin111001100101…
…0101110000000
32002210211112100
41303022232000
530212043324
62555030400
7514420563
oct163125600
962724470
1030190464
11160505a7
12a13b400
1363408a5
14401c4da
1529b54c9
hex1ccab80

30190464 has 96 divisors (see below), whose sum is σ = 88311600. Its totient is φ = 9897984.

The previous prime is 30190463. The next prime is 30190471. The reversal of 30190464 is 46409103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×301904642 = 1822928233070592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30190463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83917 + ... + 84275.

Almost surely, 230190464 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 30190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155800).

30190464 is an abundant number, since it is smaller than the sum of its proper divisors (58121136).

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

30190464 is a wasteful number, since it uses less digits than its factorization.

30190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30190464 is about 5494.5849706779. The cubic root of 30190464 is about 311.3794371405.

Adding to 30190464 its reverse (46409103), we get a palindrome (76599567).

The spelling of 30190464 in words is "thirty million, one hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 359 384 438 576 584 657 718 876 1077 1152 1168 1314 1436 1752 2154 2336 2628 2872 3231 3504 4308 4672 5256 5744 6462 7008 8616 9344 10512 11488 12924 14016 17232 21024 22976 25848 26207 28032 34464 42048 45952 51696 52414 68928 78621 84096 103392 104828 137856 157242 206784 209656 235863 314484 413568 419312 471726 628968 838624 943452 1257936 1677248 1886904 2515872 3354496 3773808 5031744 7547616 10063488 15095232 30190464