Search a number
-
+
1340002740 = 2235197914879
BaseRepresentation
bin100111111011110…
…1101000110110100
310110101110012012010
41033313231012310
510221020041430
6340544524220
745130556346
oct11767550664
93411405163
101340002740
1162843a98a
12314920670
13184802b3b
14c9d75296
157c992cb0
hex4fded1b4

1340002740 has 96 divisors (see below), whose sum is σ = 3999744000. Its totient is φ = 334219392.

The previous prime is 1340002723. The next prime is 1340002777. The reversal of 1340002740 is 472000431.

It is a congruent number.

It is an unprimeable number.

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, 82621 + ... + 97499.

It is an arithmetic number, because the mean of its divisors is an integer number (41664000).

Almost surely, 21340002740 is an apocalyptic number.

1340002740 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 1340002740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872000).

1340002740 is an abundant number, since it is smaller than the sum of its proper divisors (2659741260).

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

1340002740 is a wasteful number, since it uses less digits than its factorization.

1340002740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14989 (or 14987 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1340002740 is about 36606.0478609751. The cubic root of 1340002740 is about 1102.4745228866.

The spelling of 1340002740 in words is "one billion, three hundred forty million, two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 79 95 114 158 190 228 237 285 316 380 395 474 570 790 948 1140 1185 1501 1580 2370 3002 4503 4740 6004 7505 9006 14879 15010 18012 22515 29758 30020 44637 45030 59516 74395 89274 90060 148790 178548 223185 282701 297580 446370 565402 848103 892740 1130804 1175441 1413505 1696206 2350882 2827010 3392412 3526323 4240515 4701764 5654020 5877205 7052646 8481030 11754410 14105292 16962060 17631615 22333379 23508820 35263230 44666758 67000137 70526460 89333516 111666895 134000274 223333790 268000548 335000685 446667580 670001370 1340002740