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34204333240 = 23571121009573
BaseRepresentation
bin11111110110101111…
…001011010010111000
310021021202111011100001
4133312233023102320
51030022302130430
623414021322344
72320421015110
oct376657132270
9107252434301
1034204333240
11135624aa900
126766b663b4
1332c142a24c
14192698c040
15d52cb23ca
hex7f6bcb4b8

34204333240 has 96 divisors (see below), whose sum is σ = 96676806240. Its totient is φ = 10661080320.

The previous prime is 34204333231. The next prime is 34204333249. The reversal of 34204333240 is 4233340243.

It is an interprime number because it is at equal distance from previous prime (34204333231) and next prime (34204333249).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34204333199 and 34204333208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34204333249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470907 + ... + 538666.

It is an arithmetic number, because the mean of its divisors is an integer number (1007050065).

Almost surely, 234204333240 is an apocalyptic number.

It is an amenable number.

34204333240 is an abundant number, since it is smaller than the sum of its proper divisors (62472473000).

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

34204333240 is a wasteful number, since it uses less digits than its factorization.

34204333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009613 (or 1009598 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 34204333240 its reverse (4233340243), we get a palindrome (38437673483).

The spelling of 34204333240 in words is "thirty-four billion, two hundred four million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 33880 1009573 2019146 4038292 5047865 7067011 8076584 10095730 11105303 14134022 20191460 22210606 28268044 35335055 40382920 44421212 55526515 56536088 70670110 77737121 88842424 111053030 122158333 141340220 155474242 222106060 244316666 282680440 310948484 388685605 444212120 488633332 610791665 621896968 777371210 855108331 977266664 1221583330 1554742420 1710216662 2443166660 3109484840 3420433324 4275541655 4886333320 6840866648 8551083310 17102166620 34204333240