Search a number
-
+
34372703001 = 3713312373541
BaseRepresentation
bin100000000000110001…
…011101001100011001
310021201111022020020010
4200000301131030121
51030343402444001
623442434152133
72324534104050
oct400061351431
9107644266203
1034372703001
111363954956a
1267b3422649
13331a28b520
141941099397
15d6296e8d6
hex800c5d319

34372703001 has 96 divisors (see below), whose sum is σ = 59876914944. Its totient is φ = 17066764800.

The previous prime is 34372702997. The next prime is 34372703003. The reversal of 34372703001 is 10030727343.

It is not a de Polignac number, because 34372703001 - 22 = 34372702997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34372703001.

It is not an unprimeable number, because it can be changed into a prime (34372703003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9705291 + ... + 9708831.

It is an arithmetic number, because the mean of its divisors is an integer number (623717864).

Almost surely, 234372703001 is an apocalyptic number.

34372703001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34372703001 is a deficient number, since it is larger than the sum of its proper divisors (25504211943).

34372703001 is a wasteful number, since it uses less digits than its factorization.

34372703001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The spelling of 34372703001 in words is "thirty-four billion, three hundred seventy-two million, seven hundred three thousand, one".

Divisors: 1 3 7 13 21 31 37 39 91 93 111 217 259 273 403 481 651 777 961 1147 1209 1443 2821 2883 3367 3441 3541 6727 8029 8463 10101 10623 12493 14911 20181 24087 24787 35557 37479 44733 46033 74361 87451 104377 106671 109771 131017 138099 248899 262353 313131 322231 329313 393051 462241 746697 768397 917119 966693 1386723 1427023 1703221 2305191 2751357 3235687 3402901 4061527 4281069 5109663 9707061 9989161 10208703 11922547 12184581 23820307 28430689 29967483 35767641 44237713 52799851 71460921 85292067 125907337 132713139 158399553 309663991 369598957 377722011 881351359 928991973 1108796871 1636795381 2644054077 4910386143 11457567667 34372703001