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168348012 = 223710119843
BaseRepresentation
bin10100000100011…
…00100101101100
3102201202222001120
422002030211230
5321044114022
624412140540
74112635350
oct1202144554
9381688046
10168348012
1187034398
1248467750
1328b54411
1418503460
15eba5d5c
hexa08c96c

168348012 has 48 divisors (see below), whose sum is σ = 453395712. Its totient is φ = 47620800.

The previous prime is 168347953. The next prime is 168348023. The reversal of 168348012 is 210843861.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1438 + ... + 18405.

It is an arithmetic number, because the mean of its divisors is an integer number (9445744).

Almost surely, 2168348012 is an apocalyptic number.

168348012 is a gapful number since it is divisible by the number (12) 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 168348012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226697856).

168348012 is an abundant number, since it is smaller than the sum of its proper divisors (285047700).

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

168348012 is a wasteful number, since it uses less digits than its factorization.

168348012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 168348012 is about 12974.8993059677. The cubic root of 168348012 is about 552.1655799217.

The spelling of 168348012 in words is "one hundred sixty-eight million, three hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 19843 39686 59529 79372 119058 138901 238116 277802 416703 555604 833406 1666812 2004143 4008286 6012429 8016572 12024858 14029001 24049716 28058002 42087003 56116004 84174006 168348012