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130448034 = 232191911997
BaseRepresentation
bin1111100011001…
…11101010100010
3100002110110001200
413301213222202
5231343314114
620535542030
73142534653
oct761475242
9302413050
10130448034
11676a85a2
123782a916
13210446b2
141347952a
15b6bb409
hex7c67aa2

130448034 has 48 divisors (see below), whose sum is σ = 299220480. Its totient is φ = 40957920.

The previous prime is 130448033. The next prime is 130448041. The reversal of 130448034 is 430844031.

It is a junction number, because it is equal to n+sod(n) for n = 130447989 and 130448007.

It is not an unprimeable number, because it can be changed into a prime (130448033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64324 + ... + 66320.

It is an arithmetic number, because the mean of its divisors is an integer number (6233760).

Almost surely, 2130448034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130448034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149610240).

130448034 is an abundant number, since it is smaller than the sum of its proper divisors (168772446).

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

130448034 is a wasteful number, since it uses less digits than its factorization.

130448034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 130448034 is about 11421.3849422914. The cubic root of 130448034 is about 507.1609959864.

The spelling of 130448034 in words is "one hundred thirty million, four hundred forty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 191 342 382 573 1146 1719 1997 3438 3629 3994 5991 7258 10887 11982 17973 21774 32661 35946 37943 65322 75886 113829 227658 341487 381427 682974 762854 1144281 2288562 3432843 6865686 7247113 14494226 21741339 43482678 65224017 130448034