Search a number
-
+
30763440 = 2432542727
BaseRepresentation
bin111010101011…
…0100110110000
32010212221111200
41311112212300
530333412230
63015211200
7522325221
oct165264660
963787450
1030763440
1116402034
12a376b00
1364b1626
14412b248
152a7a160
hex1d569b0

30763440 has 60 divisors (see below), whose sum is σ = 103316304. Its totient is φ = 8203392.

The previous prime is 30763429. The next prime is 30763493. The reversal of 30763440 is 4436703.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 20644 + ... + 22083.

Almost surely, 230763440 is an apocalyptic number.

30763440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30763440 is an abundant number, since it is smaller than the sum of its proper divisors (72552864).

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

30763440 is a wasteful number, since it uses less digits than its factorization.

30763440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42746 (or 42737 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30763440 is about 5546.4799648065. The cubic root of 30763440 is about 313.3369648993.

The spelling of 30763440 in words is "thirty million, seven hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42727 85454 128181 170908 213635 256362 341816 384543 427270 512724 640905 683632 769086 854540 1025448 1281810 1538172 1709080 1922715 2050896 2563620 3076344 3418160 3845430 5127240 6152688 7690860 10254480 15381720 30763440