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38329340 = 2257436367
BaseRepresentation
bin1001001000110…
…1101111111100
32200010022222012
42102031233330
534303014330
63445310352
7643536230
oct222155774
980108865
1038329340
111a6aa445
1210a053b8
137c302aa
14513a5c0
153571c95
hex248dbfc

38329340 has 48 divisors (see below), whose sum is σ = 94144512. Its totient is φ = 12833856.

The previous prime is 38329253. The next prime is 38329351. The reversal of 38329340 is 4392383.

It is a happy number.

It is a super-3 number, since 3×383293403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38329297 and 38329306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2837 + ... + 9203.

It is an arithmetic number, because the mean of its divisors is an integer number (1961344).

Almost surely, 238329340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38329340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47072256).

38329340 is an abundant number, since it is smaller than the sum of its proper divisors (55815172).

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

38329340 is a wasteful number, since it uses less digits than its factorization.

38329340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 38329340 is about 6191.0693745104. The cubic root of 38329340 is about 337.1660052026.

The spelling of 38329340 in words is "thirty-eight million, three hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 6367 12734 25468 31835 44569 63670 89138 127340 178276 222845 273781 445690 547562 891380 1095124 1368905 1916467 2737810 3832934 5475620 7665868 9582335 19164670 38329340