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30456832 = 21072607
BaseRepresentation
bin111010000101…
…1110000000000
32010022100220211
41310023300000
530244104312
63004443504
7516610300
oct164136000
963270824
1030456832
111621273a
12a249594
136404bc3
14408b600
152a193a7
hex1d0bc00

30456832 has 66 divisors (see below), whose sum is σ = 70940832. Its totient is φ = 13031424.

The previous prime is 30456781. The next prime is 30456847. The reversal of 30456832 is 23865403.

It is a junction number, because it is equal to n+sod(n) for n = 30456794 and 30456803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49873 + ... + 50479.

Almost surely, 230456832 is an apocalyptic number.

30456832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35470416).

30456832 is an abundant number, since it is smaller than the sum of its proper divisors (40484000).

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

30456832 is an equidigital number, since it uses as much as digits as its factorization.

30456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 30456832 is about 5518.7708776502. The cubic root of 30456832 is about 312.2925154977.

The spelling of 30456832 in words is "thirty million, four hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 607 784 896 1024 1214 1568 1792 2428 3136 3584 4249 4856 6272 7168 8498 9712 12544 16996 19424 25088 29743 33992 38848 50176 59486 67984 77696 118972 135968 155392 237944 271936 310784 475888 543872 621568 951776 1087744 1903552 2175488 3807104 4350976 7614208 15228416 30456832