Search a number
-
+
30416796 = 22381961
BaseRepresentation
bin111010000000…
…1111110011100
32010020100000000
41310001332130
530241314141
63003534300
7516352464
oct164017634
963210000
1030416796
1116195653
12a22a390
1363bc907
14407aba4
152a0c5b6
hex1d01f9c

30416796 has 108 divisors (see below), whose sum is σ = 85419880. Its totient is φ = 9447840.

The previous prime is 30416773. The next prime is 30416803. The reversal of 30416796 is 69761403.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 30416796.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498606 + ... + 498666.

Almost surely, 230416796 is an apocalyptic number.

30416796 is a gapful number since it is divisible by the number (36) 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 30416796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42709940).

30416796 is an abundant number, since it is smaller than the sum of its proper divisors (55003084).

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

30416796 is an equidigital number, since it uses as much as digits as its factorization.

30416796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30416796 is about 5515.1424278979. The cubic root of 30416796 is about 312.1556176353.

The spelling of 30416796 in words is "thirty million, four hundred sixteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 243 244 324 342 366 486 513 549 684 729 732 972 1026 1098 1159 1458 1539 1647 2052 2187 2196 2318 2916 3078 3294 3477 4374 4617 4636 4941 6156 6561 6588 6954 8748 9234 9882 10431 13122 13851 13908 14823 18468 19764 20862 26244 27702 29646 31293 41553 41724 44469 55404 59292 62586 83106 88938 93879 124659 125172 133407 166212 177876 187758 249318 266814 281637 375516 400221 498636 533628 563274 800442 844911 1126548 1600884 1689822 2534733 3379644 5069466 7604199 10138932 15208398 30416796