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1354007664 = 2435348253
BaseRepresentation
bin101000010110100…
…1000010001110000
310111100210201100000
41100231020101300
510233111221124
6342205030000
745360606132
oct12055102160
93440721300
101354007664
11635335aa9
12319555300
13187697589
14cbb7d052
157dd0c6c9
hex50b48470

1354007664 has 60 divisors (see below), whose sum is σ = 3929698136. Its totient is φ = 451334592.

The previous prime is 1354007663. The next prime is 1354007689. The reversal of 1354007664 is 4667004531.

It is a happy number.

It is a super-4 number, since 4×13540076644 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354007663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170239 + ... + 178014.

Almost surely, 21354007664 is an apocalyptic number.

It is an amenable number.

1354007664 is an abundant number, since it is smaller than the sum of its proper divisors (2575690472).

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

1354007664 is an equidigital number, since it uses as much as digits as its factorization.

1354007664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348276 (or 348258 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1354007664 is about 36796.8431254639. The cubic root of 1354007664 is about 1106.3020254763.

The spelling of 1354007664 in words is "one billion, three hundred fifty-four million, seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 348253 696506 1044759 1393012 2089518 2786024 3134277 4179036 5572048 6268554 8358072 9402831 12537108 16716144 18805662 25074216 28208493 37611324 50148432 56416986 75222648 84625479 112833972 150445296 169250958 225667944 338501916 451335888 677003832 1354007664