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2934823220 = 2257171964901
BaseRepresentation
bin1010111011101101…
…1101100100110100
321120112101110121022
42232323131210310
522002303320340
61203115240312
7132504404630
oct25673354464
97515343538
102934823220
1112766a413a
1269aa49098
1337a0441b4
141dbabbdc0
151229bc3b5
hexaeedd934

2934823220 has 96 divisors (see below), whose sum is σ = 7850545920. Its totient is φ = 897177600.

The previous prime is 2934823183. The next prime is 2934823223. The reversal of 2934823220 is 223284392.

It is a super-2 number, since 2×29348232202 = 17226374665302336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934823223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12770 + ... + 77670.

It is an arithmetic number, because the mean of its divisors is an integer number (81776520).

Almost surely, 22934823220 is an apocalyptic number.

2934823220 is a gapful number since it is divisible by the number (20) 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 2934823220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925272960).

2934823220 is an abundant number, since it is smaller than the sum of its proper divisors (4915722700).

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

2934823220 is a wasteful number, since it uses less digits than its factorization.

2934823220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64953 (or 64951 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2934823220 is about 54174.0087126659. The cubic root of 2934823220 is about 1431.7284298484.

The spelling of 2934823220 in words is "two billion, nine hundred thirty-four million, eight hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 2261 2380 2660 3230 4522 6460 9044 11305 22610 45220 64901 129802 259604 324505 454307 649010 908614 1103317 1233119 1298020 1817228 2206634 2271535 2466238 4413268 4543070 4932476 5516585 6165595 7723219 8631833 9086140 11033170 12331190 15446438 17263666 20963023 22066340 24662380 30892876 34527332 38616095 41926046 43159165 77232190 83852092 86318330 104815115 146741161 154464380 172636660 209630230 293482322 419260460 586964644 733705805 1467411610 2934823220