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1340973696 = 27331127887
BaseRepresentation
bin100111111101101…
…1010001010000000
310110110021112002110
41033323122022000
510221242124241
6341021415320
745142042206
oct11773321200
93413245073
101340973696
11628a43427
1231510a540
13184a82a7a
14ca149076
157cad5816
hex4feda280

1340973696 has 128 divisors (see below), whose sum is σ = 3709992960. Its totient is φ = 428682240.

The previous prime is 1340973691. The next prime is 1340973707. The reversal of 1340973696 is 6963790431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1340973691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511365 + ... + 1512251.

It is an arithmetic number, because the mean of its divisors is an integer number (28984320).

Almost surely, 21340973696 is an apocalyptic number.

1340973696 is a gapful number since it is divisible by the number (16) 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 1340973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854996480).

1340973696 is an abundant number, since it is smaller than the sum of its proper divisors (2369019264).

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

1340973696 is a wasteful number, since it uses less digits than its factorization.

1340973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 1340973696 is about 36619.3076941659. The cubic root of 1340973696 is about 1102.7407402052.

The spelling of 1340973696 in words is "one billion, three hundred forty million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 372 381 384 496 508 744 762 887 992 1016 1488 1524 1774 1984 2032 2661 2976 3048 3548 3937 3968 4064 5322 5952 6096 7096 7874 8128 10644 11811 11904 12192 14192 15748 16256 21288 23622 24384 27497 28384 31496 42576 47244 48768 54994 56768 62992 82491 85152 94488 109988 112649 113536 125984 164982 170304 188976 219976 225298 251968 329964 337947 340608 377952 439952 450596 503936 659928 675894 755904 879904 901192 1319856 1351788 1511808 1759808 1802384 2639712 2703576 3492119 3519616 3604768 5279424 5407152 6984238 7209536 10476357 10558848 10814304 13968476 14419072 20952714 21628608 27936952 41905428 43257216 55873904 83810856 111747808 167621712 223495616 335243424 446991232 670486848 1340973696