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2934123640 = 2357194671181
BaseRepresentation
bin1010111011100011…
…0010110001111000
321120111001220221221
42232320302301320
522002113424030
61203052241424
7132465432220
oct25670626170
97514056857
102934123640
111276266578
1269a770274
13379b5a946
141db979080
151228cee7a
hexaee32c78

2934123640 has 128 divisors (see below), whose sum is σ = 7965734400. Its totient is φ = 950192640.

The previous prime is 2934123623. The next prime is 2934123641. The reversal of 2934123640 is 463214392.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2934123596 and 2934123605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934123641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2483850 + ... + 2485030.

It is an arithmetic number, because the mean of its divisors is an integer number (62232300).

Almost surely, 22934123640 is an apocalyptic number.

2934123640 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 2934123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982867200).

2934123640 is an abundant number, since it is smaller than the sum of its proper divisors (5031610760).

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

2934123640 is a wasteful number, since it uses less digits than its factorization.

2934123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2934123640 is about 54167.5515414902. The cubic root of 2934123640 is about 1431.6146594330.

The spelling of 2934123640 in words is "two billion, nine hundred thirty-four million, one hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 467 532 665 760 934 1064 1181 1330 1868 2335 2362 2660 3269 3736 4670 4724 5320 5905 6538 8267 8873 9340 9448 11810 13076 16345 16534 17746 18680 22439 23620 26152 32690 33068 35492 41335 44365 44878 47240 62111 65380 66136 70984 82670 88730 89756 112195 124222 130760 157073 165340 177460 179512 224390 248444 310555 314146 330680 354920 448780 496888 551527 621110 628292 785365 897560 1103054 1242220 1256584 1570730 2206108 2484440 2757635 3141460 3860689 4412216 5515270 6282920 7721378 10479013 11030540 15442756 19303445 20958026 22061080 30885512 38606890 41916052 52395065 73353091 77213780 83832104 104790130 146706182 154427560 209580260 293412364 366765455 419160520 586824728 733530910 1467061820 2934123640