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30984192 = 21132412
BaseRepresentation
bin111011000110…
…0100000000000
32011022011022200
41312030200000
530412443232
63024033200
7524234631
oct166144000
964264280
1030984192
1116542978
12a462800
13655ac55
144187888
152ac077c
hex1d8c800

30984192 has 108 divisors (see below), whose sum is σ = 91723905. Its totient is φ = 10076160.

The previous prime is 30984179. The next prime is 30984223. The reversal of 30984192 is 29148903.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 8856576 = 4704^2 + 2976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3936.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 755692 + ... + 755732.

Almost surely, 230984192 is an apocalyptic number.

30984192 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 30984192

30984192 is an abundant number, since it is smaller than the sum of its proper divisors (60739713).

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

30984192 is an equidigital number, since it uses as much as digits as its factorization.

30984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 30984192 is about 5566.3445815005. The cubic root of 30984192 is about 314.0846594448.

The spelling of 30984192 in words is "thirty million, nine hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1681 1968 2048 2304 2624 2952 3072 3362 3936 4608 5043 5248 5904 6144 6724 7872 9216 10086 10496 11808 13448 15129 15744 18432 20172 20992 23616 26896 30258 31488 40344 41984 47232 53792 60516 62976 80688 83968 94464 107584 121032 125952 161376 188928 215168 242064 251904 322752 377856 430336 484128 645504 755712 860672 968256 1291008 1721344 1936512 2582016 3442688 3873024 5164032 7746048 10328064 15492096 30984192