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2734410780 = 22325139293373
BaseRepresentation
bin1010001011111011…
…1100110000011100
321001120021110102100
42202332330300130
521100002121110
61131155525100
7124522052043
oct24276746034
97046243370
102734410780
11118355a322
126438b9790
1334767425a
141bd22d55a
151100d0bc0
hexa2fbcc1c

2734410780 has 144 divisors (see below), whose sum is σ = 8405036640. Its totient is φ = 719525376.

The previous prime is 2734410779. The next prime is 2734410793. The reversal of 2734410780 is 870144372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 7330674 + ... + 7331046.

It is an arithmetic number, because the mean of its divisors is an integer number (58368310).

Almost surely, 22734410780 is an apocalyptic number.

2734410780 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 2734410780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202518320).

2734410780 is an abundant number, since it is smaller than the sum of its proper divisors (5670625860).

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

2734410780 is a wasteful number, since it uses less digits than its factorization.

2734410780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2734410780 is about 52291.5937794977. The cubic root of 2734410780 is about 1398.3672768803.

The spelling of 2734410780 in words is "two billion, seven hundred thirty-four million, four hundred ten thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 293 373 417 556 586 695 746 834 879 1119 1172 1251 1390 1465 1492 1668 1758 1865 2085 2238 2502 2637 2780 2930 3357 3516 3730 4170 4395 4476 5004 5274 5595 5860 6255 6714 7460 8340 8790 10548 11190 12510 13185 13428 16785 17580 22380 25020 26370 33570 40727 51847 52740 67140 81454 103694 109289 122181 155541 162908 203635 207388 218578 244362 259235 311082 327867 366543 407270 437156 466623 488724 518470 546445 610905 622164 655734 733086 777705 814540 933246 983601 1036940 1092890 1221810 1311468 1466172 1555410 1639335 1832715 1866492 1967202 2185780 2333115 2443620 3110820 3278670 3665430 3934404 4666230 4918005 6557340 7330860 9332460 9836010 15191171 19672020 30382342 45573513 60764684 75955855 91147026 136720539 151911710 182294052 227867565 273441078 303823420 455735130 546882156 683602695 911470260 1367205390 2734410780