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39930345 = 3257313199
BaseRepresentation
bin1001100001010…
…0100111101001
32210010200010200
42120110213221
540210232340
63543502413
7663255000
oct230244751
983120120
1039930345
11205a3294
1211457a09
138370c30
145435c37
15378b330
hex26149e9

39930345 has 96 divisors (see below), whose sum is σ = 87360000. Its totient is φ = 16765056.

The previous prime is 39930337. The next prime is 39930353. The reversal of 39930345 is 54303993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39930337) and next prime (39930353).

It is not a de Polignac number, because 39930345 - 23 = 39930337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200556 + ... + 200754.

It is an arithmetic number, because the mean of its divisors is an integer number (910000).

Almost surely, 239930345 is an apocalyptic number.

39930345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39930345 is an abundant number, since it is smaller than the sum of its proper divisors (47429655).

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

39930345 is a wasteful number, since it uses less digits than its factorization.

39930345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 39930345 is about 6319.0462096744. The cubic root of 39930345 is about 341.7965600370.

The spelling of 39930345 in words is "thirty-nine million, nine hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 199 245 273 315 343 441 455 585 597 637 735 819 995 1029 1365 1393 1715 1791 1911 2205 2587 2985 3087 3185 4095 4179 4459 5145 5733 6965 7761 8955 9555 9751 12537 12935 13377 15435 18109 20895 22295 23283 28665 29253 38805 40131 48755 54327 62685 66885 68257 87759 90545 116415 126763 146265 162981 200655 204771 271635 341285 380289 438795 614313 633815 814905 887341 1023855 1140867 1901445 2662023 3071565 4436705 5704335 7986069 13310115 39930345