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342156672 = 273211133167
BaseRepresentation
bin10100011001001…
…110010110000000
3212211211100201100
4110121032112000
51200043003142
653541334400
711323166214
oct2431162600
9784740640
10342156672
11166158410
1296707400
1355b6b190
1433628944
1520089b4c
hex1464e580

342156672 has 384 divisors, whose sum is σ = 1211857920. Its totient is φ = 91238400.

The previous prime is 342156667. The next prime is 342156691. The reversal of 342156672 is 276651243.

342156672 is a `hidden beast` number, since 3 + 4 + 21 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5106783 + ... + 5106849.

It is an arithmetic number, because the mean of its divisors is an integer number (3155880).

Almost surely, 2342156672 is an apocalyptic number.

342156672 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 342156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605928960).

342156672 is an abundant number, since it is smaller than the sum of its proper divisors (869701248).

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

342156672 is a wasteful number, since it uses less digits than its factorization.

342156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 342156672 is about 18497.4774496416. The cubic root of 342156672 is about 699.4258366638.

The spelling of 342156672 in words is "three hundred forty-two million, one hundred fifty-six thousand, six hundred seventy-two".