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308420672 = 267709971
BaseRepresentation
bin10010011000100…
…010000001000000
3210111100101121212
4102120202001000
51112423430142
650334305252
710433350430
oct2230420100
9714311555
10308420672
1114910601a
1287358228
134bb88851
142cd662c0
151c123d82
hex12622040

308420672 has 56 divisors (see below), whose sum is σ = 701161920. Its totient is φ = 131857920.

The previous prime is 308420653. The next prime is 308420677. The reversal of 308420672 is 276024803.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (308420677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317147 + ... + 318117.

Almost surely, 2308420672 is an apocalyptic number.

308420672 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 308420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350580960).

308420672 is an abundant number, since it is smaller than the sum of its proper divisors (392741248).

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

308420672 is an equidigital number, since it uses as much as digits as its factorization.

308420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 308420672 is about 17561.9096911469. The cubic root of 308420672 is about 675.6386617391.

The spelling of 308420672 in words is "three hundred eight million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 709 971 1418 1942 2836 3884 4963 5672 6797 7768 9926 11344 13594 15536 19852 22688 27188 31072 39704 45376 54376 62144 79408 108752 158816 217504 317632 435008 688439 1376878 2753756 4819073 5507512 9638146 11015024 19276292 22030048 38552584 44060096 77105168 154210336 308420672