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3423134316 = 2237219615023
BaseRepresentation
bin1100110000001000…
…1110001001101100
322211120020020111110
43030002032021230
524002310244231
61323401352020
7150554106300
oct31402161154
98746206443
103423134316
1114a72a7528
127b6498610
13427265a84
142468add00
151507c7046
hexcc08e26c

3423134316 has 144 divisors (see below), whose sum is σ = 9942696960. Its totient is φ = 911191680.

The previous prime is 3423134293. The next prime is 3423134329. The reversal of 3423134316 is 6134313243.

It is a nude number because it is divisible by every one of its digits.

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, 678981 + ... + 684003.

Almost surely, 23423134316 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 3423134316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971348480).

3423134316 is an abundant number, since it is smaller than the sum of its proper divisors (6519562644).

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

3423134316 is a wasteful number, since it uses less digits than its factorization.

3423134316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5115 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 3423134316 is about 58507.5577682063. The cubic root of 3423134316 is about 1507.0973749915.

Adding to 3423134316 its reverse (6134313243), we get a palindrome (9557447559).

The spelling of 3423134316 in words is "three billion, four hundred twenty-three million, one hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 61 76 84 98 114 122 133 147 183 196 228 244 266 294 366 399 427 532 588 732 798 854 931 1159 1281 1596 1708 1862 2318 2562 2793 2989 3477 3724 4636 5023 5124 5586 5978 6954 8113 8967 10046 11172 11956 13908 15069 16226 17934 20092 24339 30138 32452 35161 35868 48678 56791 60276 70322 95437 97356 105483 113582 140644 170373 190874 210966 227164 246127 286311 306403 340746 381748 421932 492254 572622 612806 668059 681492 738381 919209 984508 1145244 1225612 1336118 1476762 1838418 2004177 2144821 2672236 2953524 3676836 4008354 4289642 4676413 5821657 6434463 8016708 8579284 9352826 11643314 12868926 14029239 15013747 17464971 18705652 23286628 25737852 28058478 30027494 34929942 40751599 45041241 56116956 60054988 69859884 81503198 90082482 122254797 163006396 180164964 244509594 285261193 489019188 570522386 855783579 1141044772 1711567158 3423134316