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2934664392 = 23311234791009
BaseRepresentation
bin1010111011101011…
…0110110011001000
321120112002101201210
42232322312303020
522002233230032
61203112013120
7132503143602
oct25672666310
97515071653
102934664392
1112765a5880
1269a9911a0
13379cb9b0a
141dba7a172
1512298a2cc
hexaeeb6cc8

2934664392 has 128 divisors (see below), whose sum is σ = 8377344000. Its totient is φ = 848010240.

The previous prime is 2934664391. The next prime is 2934664393.

2934664392 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2934664391) and next prime (2934664393).

It is a super-2 number, since 2×29346643922 = 17224510187345459328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2934664391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2907984 + ... + 2908992.

It is an arithmetic number, because the mean of its divisors is an integer number (65448000).

Almost surely, 22934664392 is an apocalyptic number.

2934664392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934664392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188672000).

2934664392 is an abundant number, since it is smaller than the sum of its proper divisors (5442679608).

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

2934664392 is a wasteful number, since it uses less digits than its factorization.

2934664392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The square root of 2934664392 is about 54172.5427869137. The cubic root of 2934664392 is about 1431.7026017550.

The spelling of 2934664392 in words is "two billion, nine hundred thirty-four million, six hundred sixty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 479 506 552 759 958 1009 1012 1437 1518 1916 2018 2024 2874 3027 3036 3832 4036 5269 5748 6054 6072 8072 10538 11017 11099 11496 12108 15807 21076 22034 22198 23207 24216 31614 33051 33297 42152 44068 44396 46414 63228 66102 66594 69621 88136 88792 92828 121187 126456 132204 133188 139242 185656 242374 255277 264408 266376 278484 363561 483311 484748 510554 556968 727122 765831 966622 969496 1021108 1449933 1454244 1531662 1933244 2042216 2899866 2908488 3063324 3866488 5316421 5799732 6126648 10632842 11116153 11599464 15949263 21265684 22232306 31898526 33348459 42531368 44464612 63797052 66696918 88929224 122277683 127594104 133393836 244555366 266787672 366833049 489110732 733666098 978221464 1467332196 2934664392