Search a number
-
+
1347638864 = 2411133715919
BaseRepresentation
bin101000001010011…
…0101011001010000
310110220211010222112
41100110311121100
510224443420424
6341420324452
745252512165
oct12024653120
93426733875
101347638864
11631786030
123173a3728
13186277760
14cada206c
157d4a060e
hex50535650

1347638864 has 80 divisors (see below), whose sum is σ = 3150631680. Its totient is φ = 550126080.

The previous prime is 1347638837. The next prime is 1347638869. The reversal of 1347638864 is 4688367431.

It is a super-2 number, since 2×13476388642 = 3632261015526420992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347638869) 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, 76697 + ... + 92615.

It is an arithmetic number, because the mean of its divisors is an integer number (39382896).

Almost surely, 21347638864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347638864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575315840).

1347638864 is an abundant number, since it is smaller than the sum of its proper divisors (1802992816).

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

1347638864 is a wasteful number, since it uses less digits than its factorization.

1347638864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15988 (or 15982 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 1347638864 is about 36710.2010890706. The cubic root of 1347638864 is about 1104.5647402940.

The spelling of 1347638864 in words is "one billion, three hundred forty-seven million, six hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1628 1924 2288 3256 3848 5291 6512 7696 10582 15919 21164 31838 42328 63676 84656 127352 175109 206947 254704 350218 413894 589003 700436 827788 1178006 1400872 1655576 2276417 2356012 2801744 3311152 4552834 4712024 6479033 7657039 9105668 9424048 12958066 15314078 18211336 25916132 30628156 36422672 51832264 61256312 84227429 103664528 122512624 168454858 336909716 673819432 1347638864