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1340469760 = 29571931127
BaseRepresentation
bin100111111100101…
…1111001000000000
310110102022220211011
41033321133020000
510221130013020
6341002530304
745134543050
oct11771371000
93412286734
101340469760
11628729853
12314b06994
13184937596
14ca057560
157ca3635a
hex4fe5f200

1340469760 has 320 divisors, whose sum is σ = 4022599680. Its totient is φ = 418037760.

The previous prime is 1340469749. The next prime is 1340469761. The reversal of 1340469760 is 679640431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1340469761) 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, 10554817 + ... + 10554943.

It is an arithmetic number, because the mean of its divisors is an integer number (12570624).

Almost surely, 21340469760 is an apocalyptic number.

1340469760 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 1340469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011299840).

1340469760 is an abundant number, since it is smaller than the sum of its proper divisors (2682129920).

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

1340469760 is a wasteful number, since it uses less digits than its factorization.

1340469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 1340469760 is about 36612.4263058323. The cubic root of 1340469760 is about 1102.6025867660.

The spelling of 1340469760 in words is "one billion, three hundred forty million, four hundred sixty-nine thousand, seven hundred sixty".