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1344639204 = 223410933797
BaseRepresentation
bin101000000100101…
…1001000011100100
310110201011202020000
41100021121003210
510223211423304
6341232141300
745215146626
oct12011310344
93421152200
101344639204
11630017377
12316397830
131857672cc
14ca820c16
157d0ab939
hex502590e4

1344639204 has 60 divisors (see below), whose sum is σ = 3519295164. Its totient is φ = 447685056.

The previous prime is 1344639199. The next prime is 1344639209. The reversal of 1344639204 is 4029364431.

It is a happy number.

1344639204 is a `hidden beast` number, since 1 + 3 + 446 + 3 + 9 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (1344639199) and next prime (1344639209).

It can be written as a sum of positive squares in 2 ways, for example, as 668119104 + 676520100 = 25848^2 + 26010^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1344639209) 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 19 ways as a sum of consecutive naturals, for example, 352234 + ... + 356030.

Almost surely, 21344639204 is an apocalyptic number.

It is an amenable number.

1344639204 is an abundant number, since it is smaller than the sum of its proper divisors (2174655960).

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

1344639204 is a wasteful number, since it uses less digits than its factorization.

1344639204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1344639204 is about 36669.3223826130. The cubic root of 1344639204 is about 1103.7445947457.

It can be divided in two parts, 13446 and 39204, that added together give a triangular number (52650 = T324).

The spelling of 1344639204 in words is "one billion, three hundred forty-four million, six hundred thirty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1093 2186 3279 3797 4372 6558 7594 9837 11391 13116 15188 19674 22782 29511 34173 39348 45564 59022 68346 88533 102519 118044 136692 177066 205038 307557 354132 410076 615114 1230228 4150121 8300242 12450363 16600484 24900726 37351089 49801452 74702178 112053267 149404356 224106534 336159801 448213068 672319602 1344639204