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30032340 = 223513139277
BaseRepresentation
bin111001010010…
…0000111010100
32002111210121220
41302210013110
530142013330
62551410340
7513161562
oct162440724
962453556
1030032340
1115a52818
12a0839b0
1362b6920
143dbaa32
152983710
hex1ca41d4

30032340 has 96 divisors (see below), whose sum is σ = 91539840. Its totient is φ = 7312896.

The previous prime is 30032329. The next prime is 30032341. The reversal of 30032340 is 4323003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032341) 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 31 ways as a sum of consecutive naturals, for example, 108282 + ... + 108558.

It is an arithmetic number, because the mean of its divisors is an integer number (953540).

Almost surely, 230032340 is an apocalyptic number.

30032340 is a gapful number since it is divisible by the number (30) 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 30032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45769920).

30032340 is an abundant number, since it is smaller than the sum of its proper divisors (61507500).

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

30032340 is a wasteful number, since it uses less digits than its factorization.

30032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 30032340 is about 5480.1770044406. The cubic root of 30032340 is about 310.8348637201.

Adding to 30032340 its reverse (4323003), we get a palindrome (34355343).

It can be divided in two parts, 300 and 32340, that added together give a triangular number (32640 = T255).

The spelling of 30032340 in words is "thirty million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 277 278 390 417 554 556 695 780 831 834 1108 1385 1390 1662 1668 1807 2085 2770 2780 3324 3601 3614 4155 4170 5421 5540 7202 7228 8310 8340 9035 10803 10842 14404 16620 18005 18070 21606 21684 27105 36010 36140 38503 43212 54015 54210 72020 77006 108030 108420 115509 154012 192515 216060 231018 385030 462036 500539 577545 770060 1001078 1155090 1501617 2002156 2310180 2502695 3003234 5005390 6006468 7508085 10010780 15016170 30032340