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34371238590 = 23251324352553
BaseRepresentation
bin100000000000101011…
…110111101010111110
310021201101112211102200
4200000223313222332
51030343014113330
623442342532330
72324515464453
oct400053675276
9107641484380
1034371238590
1113638739307
1267b2a370a6
133319b97b00
141940bd782a
15d62780a60
hex800af7abe

34371238590 has 144 divisors (see below), whose sum is σ = 99020565072. Its totient is φ = 8263696896.

The previous prime is 34371238579. The next prime is 34371238597. The reversal of 34371238590 is 9583217343.

34371238590 is a `hidden beast` number, since 3 + 4 + 37 + 1 + 23 + 8 + 590 = 666.

34371238590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34371238597) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 627754 + ... + 680306.

It is an arithmetic number, because the mean of its divisors is an integer number (687642813).

Almost surely, 234371238590 is an apocalyptic number.

34371238590 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 34371238590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49510282536).

34371238590 is an abundant number, since it is smaller than the sum of its proper divisors (64649326482).

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

34371238590 is a wasteful number, since it uses less digits than its factorization.

34371238590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52635 (or 52619 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34371238590 in words is "thirty-four billion, three hundred seventy-one million, two hundred thirty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 169 195 215 234 258 338 387 390 430 507 559 585 645 774 845 1014 1118 1170 1290 1521 1677 1690 1935 2535 2795 3042 3354 3870 5031 5070 5590 7267 7605 8385 10062 14534 15210 16770 21801 25155 36335 43602 50310 52553 65403 72670 105106 109005 130806 157659 218010 262765 315318 327015 472977 525530 654030 683189 788295 945954 1366378 1576590 2049567 2259779 2364885 3415945 4099134 4519558 4729770 6148701 6779337 6831890 8881457 10247835 11298895 12297402 13558674 17762914 20338011 20495670 22597790 26644371 29377127 30743505 33896685 40676022 44407285 53288742 58754254 61487010 67793370 79933113 88131381 88814570 101690055 133221855 146885635 159866226 176262762 203380110 264394143 266443710 293771270 381902651 399665565 440656905 528788286 763805302 799331130 881313810 1145707953 1321970715 1909513255 2291415906 2643941430 3437123859 3819026510 5728539765 6874247718 11457079530 17185619295 34371238590