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2744105740 = 225313725361
BaseRepresentation
bin1010001110001111…
…1011101100001100
321002020112000101221
42203203323230030
521104442340430
61132143413124
7125000341165
oct24343735414
97066460357
102744105740
111188a81292
12646bb41a4
1334968a00c
141c063476c
15110d9857a
hexa38fbb0c

2744105740 has 144 divisors (see below), whose sum is σ = 6331094784. Its totient is φ = 997401600.

The previous prime is 2744105737. The next prime is 2744105747. The reversal of 2744105740 is 475014472.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2744105696 and 2744105705.

It is not an unprimeable number, because it can be changed into a prime (2744105747) 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 47 ways as a sum of consecutive naturals, for example, 44985310 + ... + 44985370.

It is an arithmetic number, because the mean of its divisors is an integer number (43965936).

Almost surely, 22744105740 is an apocalyptic number.

2744105740 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 2744105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165547392).

2744105740 is an abundant number, since it is smaller than the sum of its proper divisors (3586989044).

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

2744105740 is a wasteful number, since it uses less digits than its factorization.

2744105740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 2744105740 is about 52384.2126981021. The cubic root of 2744105740 is about 1400.0179827622.

It can be divided in two parts, 274 and 4105740, that added together give a palindrome (4106014).

The spelling of 2744105740 in words is "two billion, seven hundred forty-four million, one hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 37 53 61 62 74 106 122 124 148 155 185 212 244 265 305 310 370 530 610 620 740 1060 1147 1220 1369 1643 1891 1961 2257 2294 2738 3233 3286 3782 3922 4514 4588 5476 5735 6466 6572 6845 7564 7844 8215 9028 9455 9805 11285 11470 12932 13690 16165 16430 18910 19610 22570 22940 27380 32330 32860 37820 39220 42439 45140 60791 64660 69967 72557 83509 84878 100223 119621 121582 139934 145114 167018 169756 200446 212195 239242 243164 279868 290228 303955 334036 349835 362785 400892 417545 424390 478484 501115 598105 607910 699670 725570 835090 848780 1002230 1196210 1215820 1399340 1451140 1670180 2004460 2249267 2392420 2588779 3708251 4425977 4498534 5177558 7416502 8851954 8997068 10355116 11246335 12943895 14833004 17703908 18541255 22129885 22492670 25887790 37082510 44259770 44985340 51775580 74165020 88519540 137205287 274410574 548821148 686026435 1372052870 2744105740