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30688440 = 23352311119
BaseRepresentation
bin111010100010…
…0010010111000
32010202010121220
41311010102320
530324012230
63013432040
7521563446
oct165042270
963663556
1030688440
1116360752
12a33b620
136486453
14410bb96
152a62d10
hex1d444b8

30688440 has 64 divisors (see below), whose sum is σ = 96076800. Its totient is φ = 7827072.

The previous prime is 30688433. The next prime is 30688447. The reversal of 30688440 is 4488603.

It is an interprime number because it is at equal distance from previous prime (30688433) and next prime (30688447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30688447) 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 15 ways as a sum of consecutive naturals, for example, 2800 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (1501200).

Almost surely, 230688440 is an apocalyptic number.

30688440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30688440 is an abundant number, since it is smaller than the sum of its proper divisors (65388360).

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

30688440 is a wasteful number, since it uses less digits than its factorization.

30688440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 30688440 is about 5539.7147941027. The cubic root of 30688440 is about 313.0821234832.

The spelling of 30688440 in words is "thirty million, six hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 11119 22238 33357 44476 55595 66714 88952 111190 133428 166785 222380 255737 266856 333570 444760 511474 667140 767211 1022948 1278685 1334280 1534422 2045896 2557370 3068844 3836055 5114740 6137688 7672110 10229480 15344220 30688440