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39074364 = 223272171303
BaseRepresentation
bin1001010100001…
…1101000111100
32201112011221200
42111003220330
540000334424
63513255500
7653061300
oct225035074
981464850
1039074364
112006916a
1211104590
138131434
145291d00
15366c8c9
hex2543a3c

39074364 has 108 divisors (see below), whose sum is σ = 121749264. Its totient is φ = 10499328.

The previous prime is 39074363. The next prime is 39074407. The reversal of 39074364 is 46347093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39074363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29337 + ... + 30639.

It is an arithmetic number, because the mean of its divisors is an integer number (1127308).

Almost surely, 239074364 is an apocalyptic number.

39074364 is a gapful number since it is divisible by the number (34) 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 39074364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60874632).

39074364 is an abundant number, since it is smaller than the sum of its proper divisors (82674900).

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

39074364 is a wasteful number, since it uses less digits than its factorization.

39074364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 39074364 is about 6250.9490479446. The cubic root of 39074364 is about 339.3365493713.

The spelling of 39074364 in words is "thirty-nine million, seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1303 1428 1666 1764 2142 2499 2606 3332 3909 4284 4998 5212 7497 7818 9121 9996 11727 14994 15636 18242 22151 23454 27363 29988 36484 44302 46908 54726 63847 66453 82089 88604 109452 127694 132906 155057 164178 191541 199359 255388 265812 310114 328356 383082 398718 465171 574623 620228 766164 797436 930342 1085399 1149246 1395513 1860684 2170798 2298492 2791026 3256197 4341596 5582052 6512394 9768591 13024788 19537182 39074364