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34132423350 = 2352592131499
BaseRepresentation
bin11111110010011100…
…110111001010110110
310021002202011202111210
4133302130313022312
51024400400021400
623402532142250
72315555545224
oct376234671266
9107082152453
1034132423350
1113525954943
126746a67986
1332ac57030c
14191b1cdb14
15d4b80a950
hex7f27372b6

34132423350 has 144 divisors (see below), whose sum is σ = 86938632000. Its totient is φ = 8861611200.

The previous prime is 34132423349. The next prime is 34132423379. The reversal of 34132423350 is 5332423143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68401401 + ... + 68401899.

It is an arithmetic number, because the mean of its divisors is an integer number (603740500).

Almost surely, 234132423350 is an apocalyptic number.

34132423350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34132423350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43469316000).

34132423350 is an abundant number, since it is smaller than the sum of its proper divisors (52806208650).

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

34132423350 is a wasteful number, since it uses less digits than its factorization.

34132423350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 34132423350 its reverse (5332423143), we get a palindrome (39464846493).

The spelling of 34132423350 in words is "thirty-four billion, one hundred thirty-two million, four hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 131 150 177 262 295 354 393 499 590 655 786 885 998 1310 1475 1497 1770 1965 2495 2950 2994 3275 3481 3930 4425 4990 6550 6962 7485 7729 8850 9825 10443 12475 14970 15458 17405 19650 20886 23187 24950 29441 34810 37425 38645 46374 52215 58882 65369 74850 77290 87025 88323 104430 115935 130738 147205 174050 176646 193225 196107 231870 261075 294410 326845 386450 392214 441615 456011 522150 579675 653690 736025 883230 912022 980535 1159350 1368033 1472050 1634225 1737019 1961070 2208075 2280055 2736066 3268450 3474038 3856771 4416150 4560110 4902675 5211057 6840165 7713542 8685095 9805350 10422114 11400275 11570313 13680330 17370190 19283855 22800550 23140626 26055285 34200825 38567710 43425475 52110570 57851565 68401650 86850950 96419275 115703130 130276425 192838550 227549489 260552850 289257825 455098978 578515650 682648467 1137747445 1365296934 2275494890 3413242335 5688737225 6826484670 11377474450 17066211675 34132423350