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3122430234 = 2372115318217
BaseRepresentation
bin1011101000011100…
…1000000100011010
322001121101220001020
42322013020010122
522343320231414
61233500303310
7140243135100
oct27207100432
98047356036
103122430234
111362592060
12731841b36
133a9b7c671
14218995c70
151341c97a9
hexba1c811a

3122430234 has 96 divisors (see below), whose sum is σ = 8074800576. Its totient is φ = 795674880.

The previous prime is 3122430221. The next prime is 3122430247. The reversal of 3122430234 is 4320342213.

It is an interprime number because it is at equal distance from previous prime (3122430221) and next prime (3122430247).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162294 + ... + 180510.

It is an arithmetic number, because the mean of its divisors is an integer number (84112506).

Almost surely, 23122430234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122430234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037400288).

3122430234 is an abundant number, since it is smaller than the sum of its proper divisors (4952370342).

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

3122430234 is a wasteful number, since it uses less digits than its factorization.

3122430234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3122430234 is about 55878.7100244807. The cubic root of 3122430234 is about 1461.6080103347.

Adding to 3122430234 its reverse (4320342213), we get a palindrome (7442772447).

The spelling of 3122430234 in words is "three billion, one hundred twenty-two million, four hundred thirty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 98 106 147 154 159 231 294 318 371 462 539 583 742 1078 1113 1166 1617 1749 2226 2597 3234 3498 4081 5194 7791 8162 12243 15582 18217 24486 28567 36434 54651 57134 85701 109302 127519 171402 200387 255038 382557 400774 601161 765114 892633 965501 1202322 1402709 1785266 1931002 2677899 2805418 2896503 4208127 5355798 5793006 6758507 8416254 9818963 10620511 13517014 19637926 20275521 21241022 29456889 31861533 40551042 47309549 58913778 63723066 74343577 94619098 141928647 148687154 223030731 283857294 446061462 520405039 1040810078 1561215117 3122430234