Search a number
-
+
168348132 = 223419232941
BaseRepresentation
bin10100000100011…
…00100111100100
3102201202222020000
422002030213210
5321044120012
624412141300
74112635611
oct1202144744
9381688200
10168348132
1187034497
1248467830
1328b544a4
1418503508
15eba5ddc
hexa08c9e4

168348132 has 240 divisors, whose sum is σ = 512265600. Its totient is φ = 47900160.

The previous prime is 168348121. The next prime is 168348133. The reversal of 168348132 is 231843861.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (27648) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168348133) 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 79 ways as a sum of consecutive naturals, for example, 4106032 + ... + 4106072.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2168348132 is an apocalyptic number.

168348132 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 168348132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256132800).

168348132 is an abundant number, since it is smaller than the sum of its proper divisors (343917468).

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

168348132 is a wasteful number, since it uses less digits than its factorization.

168348132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 168348132 is about 12974.9039302802. The cubic root of 168348132 is about 552.1657111179.

The spelling of 168348132 in words is "one hundred sixty-eight million, three hundred forty-eight thousand, one hundred thirty-two".