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34374648 = 23371121989
BaseRepresentation
bin1000001100100…
…0001111111000
32101200102011010
42003020033320
532244442043
63224433520
7565115430
oct203101770
971612133
1034374648
1118449200
12b6188a0
137177239
1447cb2c0
153040133
hex20c83f8

34374648 has 192 divisors, whose sum is σ = 114912000. Its totient is φ = 8363520.

The previous prime is 34374631. The next prime is 34374649. The reversal of 34374648 is 84647343.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374649) 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 47 ways as a sum of consecutive naturals, for example, 386188 + ... + 386276.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 234374648 is an apocalyptic number.

34374648 is a gapful number since it is divisible by the number (38) 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 34374648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

34374648 is an abundant number, since it is smaller than the sum of its proper divisors (80537352).

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

34374648 is a wasteful number, since it uses less digits than its factorization.

34374648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 34374648 is about 5862.9896810416. The cubic root of 34374648 is about 325.1467518710.

The spelling of 34374648 in words is "thirty-four million, three hundred seventy-four thousand, six hundred forty-eight".