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34675130352 = 2433127784127
BaseRepresentation
bin100000010010110011…
…000111111111110000
310022111120101010120010
4200102303013333300
51032003313132402
623532440214520
72335165513332
oct402263077760
9108446333503
1034675130352
1113784230725
12687876a440
133367b29115
14196d301452
15d7e2aca6c
hex812cc7ff0

34675130352 has 80 divisors (see below), whose sum is σ = 92801933312. Its totient is φ = 11145012480.

The previous prime is 34675130341. The next prime is 34675130377. The reversal of 34675130352 is 25303157643.

34675130352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34675130352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370113 + ... + 454239.

Almost surely, 234675130352 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 34675130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46400966656).

34675130352 is an abundant number, since it is smaller than the sum of its proper divisors (58126802960).

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

34675130352 is a wasteful number, since it uses less digits than its factorization.

34675130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84446 (or 84440 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

Adding to 34675130352 its reverse (25303157643), we get a palindrome (59978287995).

The spelling of 34675130352 in words is "thirty-four billion, six hundred seventy-five million, one hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 277 372 496 554 744 831 1108 1488 1662 2216 3324 4432 6648 8587 13296 17174 25761 34348 51522 68696 84127 103044 137392 168254 206088 252381 336508 412176 504762 673016 1009524 1346032 2019048 2607937 4038096 5215874 7823811 10431748 15647622 20863496 23303179 31295244 41726992 46606358 62590488 69909537 93212716 125180976 139819074 186425432 279638148 372850864 559276296 722398549 1118552592 1444797098 2167195647 2889594196 4334391294 5779188392 8668782588 11558376784 17337565176 34675130352