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334137648 = 243131928183
BaseRepresentation
bin10011111010101…
…000100100110000
3212021201221200110
4103322220210300
51141014401043
653053421320
711165060145
oct2372504460
9767657613
10334137648
11161680619
1293a9a840
13542c11b0
143253c3cc
151e503b33
hex13ea8930

334137648 has 80 divisors (see below), whose sum is σ = 978548480. Its totient is φ = 97396992.

The previous prime is 334137637. The next prime is 334137653. The reversal of 334137648 is 846731433.

It is a super-2 number, since 2×3341376482 = 223295935621943808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236 + ... + 25947.

It is an arithmetic number, because the mean of its divisors is an integer number (12231856).

Almost surely, 2334137648 is an apocalyptic number.

334137648 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 334137648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489274240).

334137648 is an abundant number, since it is smaller than the sum of its proper divisors (644410832).

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

334137648 is a wasteful number, since it uses less digits than its factorization.

334137648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28226 (or 28220 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 334137648 is about 18279.4323763075. The cubic root of 334137648 is about 693.9185070425.

The spelling of 334137648 in words is "three hundred thirty-four million, one hundred thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 28183 56366 84549 112732 169098 225464 338196 366379 450928 535477 676392 732758 1070954 1099137 1352784 1465516 1606431 2141908 2198274 2931032 3212862 4283816 4396548 5862064 6425724 6961201 8567632 8793096 12851448 13922402 17586192 20883603 25702896 27844804 41767206 55689608 83534412 111379216 167068824 334137648