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1340002664 = 2371113198807
BaseRepresentation
bin100111111011110…
…1101000101101000
310110101110012002022
41033313231011220
510221020041124
6340544524012
745130556210
oct11767550550
93411405068
101340002664
1162843a920
12314920608
13184802ab0
14c9d75240
157c992c5e
hex4fded168

1340002664 has 128 divisors (see below), whose sum is σ = 3551385600. Its totient is φ = 456503040.

The previous prime is 1340002663. The next prime is 1340002687. The reversal of 1340002664 is 4662000431.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1340002663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147749 + ... + 156555.

It is an arithmetic number, because the mean of its divisors is an integer number (27745200).

Almost surely, 21340002664 is an apocalyptic number.

1340002664 is a gapful number since it is divisible by the number (14) 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 1340002664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775692800).

1340002664 is an abundant number, since it is smaller than the sum of its proper divisors (2211382936).

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

1340002664 is a wasteful number, since it uses less digits than its factorization.

1340002664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8863 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1340002664 is about 36606.0468228953. The cubic root of 1340002664 is about 1102.4745020438.

The spelling of 1340002664 in words is "one billion, three hundred forty million, two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 19 22 26 28 38 44 52 56 76 77 88 91 104 133 143 152 154 182 209 247 266 286 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1463 1672 1729 1976 2002 2717 2926 3458 4004 5434 5852 6916 8008 8807 10868 11704 13832 17614 19019 21736 35228 38038 61649 70456 76076 96877 114491 123298 152152 167333 193754 228982 246596 334666 387508 457964 493192 669332 678139 775016 801437 915928 1171331 1259401 1338664 1356278 1602874 1840663 2175329 2342662 2518802 2712556 3205748 3681326 4350658 4685324 5037604 5425112 6411496 7362652 8701316 8815807 9370648 10075208 12884641 14725304 15227303 17402632 17631614 23928619 25769282 30454606 35263228 47857238 51538564 60909212 70526456 95714476 103077128 121818424 167500333 191428952 335000666 670001332 1340002664