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30283840 = 265101937
BaseRepresentation
bin111001110000…
…1100001000000
32002222120121201
41303201201000
530223040330
63001030544
7515260036
oct163414100
962876551
1030283840
1116104774
12a185454
136374242
144044556
1529d2eca
hex1ce1840

30283840 has 56 divisors (see below), whose sum is σ = 72905112. Its totient is φ = 11980800.

The previous prime is 30283769. The next prime is 30283849. The reversal of 30283840 is 4838203.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 26956864 = 1824^2 + 5192^2 .

It is a super-2 number, since 2×302838402 = 1834221930291200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30283799 and 30283808.

It is not an unprimeable number, because it can be changed into a prime (30283849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31852 + ... + 32788.

It is an arithmetic number, because the mean of its divisors is an integer number (1301877).

Almost surely, 230283840 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 30283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36452556).

30283840 is an abundant number, since it is smaller than the sum of its proper divisors (42621272).

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

30283840 is a wasteful number, since it uses less digits than its factorization.

30283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 30283840 is about 5503.0755037524. The cubic root of 30283840 is about 311.7001282701.

The spelling of 30283840 in words is "thirty million, two hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 937 1010 1616 1874 2020 3232 3748 4040 4685 6464 7496 8080 9370 14992 16160 18740 29984 32320 37480 59968 74960 94637 149920 189274 299840 378548 473185 757096 946370 1514192 1892740 3028384 3785480 6056768 7570960 15141920 30283840