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1993848340 = 2251153307557
BaseRepresentation
bin111011011010111…
…1011011000010100
312010221202222201211
41312311323120110
513040411121330
6525503031204
7100260300631
oct16665733024
95127688654
101993848340
11933525850
1247789b504
1325a102323
1414cb37188
15ba099d2a
hex76d7b614

1993848340 has 96 divisors (see below), whose sum is σ = 4677450624. Its totient is φ = 707765760.

The previous prime is 1993848331. The next prime is 1993848361. The reversal of 1993848340 is 438483991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579342 + ... + 3579898.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 21993848340 is an apocalyptic number.

1993848340 is a gapful number since it is divisible by the number (10) 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 1993848340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338725312).

1993848340 is an abundant number, since it is smaller than the sum of its proper divisors (2683602284).

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

1993848340 is a wasteful number, since it uses less digits than its factorization.

1993848340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 1993848340 is about 44652.5289317414. The cubic root of 1993848340 is about 1258.6279555535.

The spelling of 1993848340 in words is "one billion, nine hundred ninety-three million, eight hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 307 530 557 583 614 1060 1114 1166 1228 1535 2228 2332 2785 2915 3070 3377 5570 5830 6127 6140 6754 11140 11660 12254 13508 16271 16885 24508 29521 30635 32542 33770 59042 61270 65084 67540 81355 118084 122540 147605 162710 170999 178981 295210 324731 325420 341998 357962 590420 649462 683996 715924 854995 894905 1298924 1623655 1709990 1789810 1880989 3247310 3419980 3579620 3761978 6494620 7523956 9062947 9404945 18125894 18809890 36251788 37619780 45314735 90629470 99692417 181258940 199384834 398769668 498462085 996924170 1993848340