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1337680134 = 232716696361
BaseRepresentation
bin100111110111011…
…0110000100000110
310110020002012011200
41033232312010012
510214421231014
6340423043330
745102044040
oct11756660406
93406065150
101337680134
116270a397a
12313ba0546
1318419b90b
14c992ca90
157c684a09
hex4fbb6106

1337680134 has 48 divisors (see below), whose sum is σ = 3314856480. Its totient is φ = 381905280.

The previous prime is 1337680133. The next prime is 1337680147. The reversal of 1337680134 is 4310867331.

1337680134 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337680133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207114 + ... + 213474.

It is an arithmetic number, because the mean of its divisors is an integer number (69059510).

Almost surely, 21337680134 is an apocalyptic number.

1337680134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1337680134 is an abundant number, since it is smaller than the sum of its proper divisors (1977176346).

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

1337680134 is a wasteful number, since it uses less digits than its factorization.

1337680134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8045 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1337680134 is about 36574.3097542524. The cubic root of 1337680134 is about 1101.8371871768.

The spelling of 1337680134 in words is "one billion, three hundred thirty-seven million, six hundred eighty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1669 3338 5007 6361 10014 11683 12722 15021 19083 23366 30042 35049 38166 44527 57249 70098 89054 105147 114498 133581 210294 267162 400743 801486 10616509 21233018 31849527 63699054 74315563 95548581 148631126 191097162 222946689 445893378 668840067 1337680134