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34003234431 = 3323477914747
BaseRepresentation
bin11111101010110000…
…000010111001111111
310020202202002021122000
4133222300002321333
51024114312000211
623342035153343
72312426503155
oct375260027177
9106682067560
1034003234431
1113469a37341
12670b745853
13328b879a7a
141907da13d5
15d402dc656
hex7eac02e7f

34003234431 has 64 divisors (see below), whose sum is σ = 54367027200. Its totient is φ = 20951824608.

The previous prime is 34003234429. The next prime is 34003234451. The reversal of 34003234431 is 13443230043.

It is not a de Polignac number, because 34003234431 - 21 = 34003234429 is a prime.

It is a super-2 number, since 2×340032344312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34003234395 and 34003234404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003234451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298400 + ... + 2313146.

It is an arithmetic number, because the mean of its divisors is an integer number (849484800).

Almost surely, 234003234431 is an apocalyptic number.

34003234431 is a deficient number, since it is larger than the sum of its proper divisors (20363792769).

34003234431 is a wasteful number, since it uses less digits than its factorization.

34003234431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14905 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34003234431 its reverse (13443230043), we get a palindrome (47446464474).

The spelling of 34003234431 in words is "thirty-four billion, three million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 23 27 47 69 79 141 207 237 423 621 711 1081 1269 1817 2133 3243 3713 5451 9729 11139 14747 16353 29187 33417 44241 49059 85399 100251 132723 256197 339181 398169 693109 768591 1017543 1165013 2079327 2305773 3052629 3495039 6237981 9157887 10485117 15941507 18713943 26795299 31455351 47824521 54755611 80385897 143473563 164266833 241157691 430420689 492800499 723473073 1259379053 1478401497 3778137159 11334411477 34003234431