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39130344 = 23331143383
BaseRepresentation
bin1001010101000…
…1010011101000
32201122000202000
42111101103220
540004132334
63514411000
7653413431
oct225212350
981560660
1039130344
11200a7230
1211130a60
138150a66
1452a8488
15367e299
hex25514e8

39130344 has 128 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 11551680.

The previous prime is 39130319. The next prime is 39130369. The reversal of 39130344 is 44303193.

It is an interprime number because it is at equal distance from previous prime (39130319) and next prime (39130369).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 101977 + ... + 102359.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 239130344 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 39130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

39130344 is an abundant number, since it is smaller than the sum of its proper divisors (82520856).

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

39130344 is a wasteful number, since it uses less digits than its factorization.

39130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 39130344 is about 6255.4251654064. The cubic root of 39130344 is about 339.4985225400.

The spelling of 39130344 in words is "thirty-nine million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 383 387 396 473 516 594 766 774 792 946 1032 1149 1161 1188 1419 1532 1548 1892 2298 2322 2376 2838 3064 3096 3447 3784 4213 4257 4596 4644 5676 6894 8426 8514 9192 9288 10341 11352 12639 12771 13788 16469 16852 17028 20682 25278 25542 27576 32938 33704 34056 37917 41364 49407 50556 51084 65876 75834 82728 98814 101112 102168 113751 131752 148221 151668 181159 197628 227502 296442 303336 362318 395256 444663 455004 543477 592884 724636 889326 910008 1086954 1185768 1449272 1630431 1778652 2173908 3260862 3557304 4347816 4891293 6521724 9782586 13043448 19565172 39130344