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30724188 = 22311435413
BaseRepresentation
bin111010100110…
…1000001011100
32010210221122220
41311031001130
530331133223
63014305340
7522102615
oct165150134
963727586
1030724188
11163855a0
12a358250
1364997c1
14411ac0c
152a6d6e3
hex1d4d05c

30724188 has 48 divisors (see below), whose sum is σ = 80040576. Its totient is φ = 9092160.

The previous prime is 30724181. The next prime is 30724189. The reversal of 30724188 is 88142703.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30724181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970 + ... + 8382.

It is an arithmetic number, because the mean of its divisors is an integer number (1667512).

Almost surely, 230724188 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 30724188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40020288).

30724188 is an abundant number, since it is smaller than the sum of its proper divisors (49316388).

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

30724188 is a wasteful number, since it uses less digits than its factorization.

30724188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 30724188 is about 5542.9403749274. The cubic root of 30724188 is about 313.2036428219.

It can be divided in two parts, 3072 and 4188, that added together give a triangular number (7260 = T120).

The spelling of 30724188 in words is "thirty million, seven hundred twenty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5413 5676 10826 16239 21652 32478 59543 64956 119086 178629 232759 238172 357258 465518 698277 714516 931036 1396554 2560349 2793108 5120698 7681047 10241396 15362094 30724188