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30950832 = 243112732
BaseRepresentation
bin111011000010…
…0010110110000
32011020110120010
41312010112300
530410411312
63023214520
7524035443
oct166042660
964213503
1030950832
111651a900
12a447440
136548a03
14417965a
152ab593c
hex1d845b0

30950832 has 90 divisors (see below), whose sum is σ = 89106276. Its totient is φ = 9250560.

The previous prime is 30950809. The next prime is 30950837. The reversal of 30950832 is 23805903.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30950832.

It is not an unprimeable number, because it can be changed into a prime (30950837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423948 + ... + 424020.

Almost surely, 230950832 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 30950832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553138).

30950832 is an abundant number, since it is smaller than the sum of its proper divisors (58155444).

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

30950832 is a wasteful number, since it uses less digits than its factorization.

30950832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30950832 is about 5563.3471939112. The cubic root of 30950832 is about 313.9718962771.

Subtracting from 30950832 its reverse (23805903), we obtain a square (7144929 = 26732).

The spelling of 30950832 in words is "thirty million, nine hundred fifty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 121 132 146 176 219 242 264 292 363 438 484 528 584 726 803 876 968 1168 1452 1606 1752 1936 2409 2904 3212 3504 4818 5329 5808 6424 8833 9636 10658 12848 15987 17666 19272 21316 26499 31974 35332 38544 42632 52998 58619 63948 70664 85264 105996 117238 127896 141328 175857 211992 234476 255792 351714 423984 468952 644809 703428 937904 1289618 1406856 1934427 2579236 2813712 3868854 5158472 7737708 10316944 15475416 30950832