Search a number
-
+
30347744 = 257612221
BaseRepresentation
bin111001111000…
…1000111100000
32010002211021112
41303301013200
530232111434
63002242452
7515644250
oct163610740
963084245
1030347744
1116148789
12a1b6428
13639735b
14405d960
1529e6dce
hex1cf11e0

30347744 has 48 divisors (see below), whose sum is σ = 69433056. Its totient is φ = 12787200.

The previous prime is 30347701. The next prime is 30347761. The reversal of 30347744 is 44774303.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30347744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12554 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (1446522).

Almost surely, 230347744 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 30347744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34716528).

30347744 is an abundant number, since it is smaller than the sum of its proper divisors (39085312).

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

30347744 is a wasteful number, since it uses less digits than its factorization.

30347744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The square root of 30347744 is about 5508.8786517766. The cubic root of 30347744 is about 311.9192208144.

The spelling of 30347744 in words is "thirty million, three hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 2221 3416 4442 6832 8884 13664 15547 17768 31094 35536 62188 71072 124376 135481 248752 270962 497504 541924 948367 1083848 1896734 2167696 3793468 4335392 7586936 15173872 30347744