Search a number
-
+
1322140104 = 233312748197
BaseRepresentation
bin100111011001110…
…0100000111001000
310102010211200021000
41032303210013020
510201431440404
6335110015000
744523001605
oct11663440710
93363750230
101322140104
1161934a47a
1230a947460
13180bba52c
14c78456ac
157b115339
hex4ece41c8

1322140104 has 64 divisors (see below), whose sum is σ = 3701606400. Its totient is φ = 437234112.

The previous prime is 1322140103. The next prime is 1322140121. The reversal of 1322140104 is 4010412231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1322140103) 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, 3334 + ... + 51530.

It is an arithmetic number, because the mean of its divisors is an integer number (57837600).

Almost surely, 21322140104 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 1322140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850803200).

1322140104 is an abundant number, since it is smaller than the sum of its proper divisors (2379466296).

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

1322140104 is a wasteful number, since it uses less digits than its factorization.

1322140104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48339 (or 48329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1322140104 is about 36361.2445331565. The cubic root of 1322140104 is about 1097.5538215243.

Adding to 1322140104 its reverse (4010412231), we get a palindrome (5332552335).

The spelling of 1322140104 in words is "one billion, three hundred twenty-two million, one hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 13716 27432 48197 96394 144591 192788 289182 385576 433773 578364 867546 1156728 1301319 1735092 2602638 3470184 5205276 6121019 10410552 12242038 18363057 24484076 36726114 48968152 55089171 73452228 110178342 146904456 165267513 220356684 330535026 440713368 661070052 1322140104