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1327144704 = 2835693037
BaseRepresentation
bin100111100011010…
…1001111100000000
310102111020221021120
41033012221330000
510204222112304
6335405152240
744613354354
oct11706517400
93374227246
101327144704
11621158506
1231055b680
13181c50432
14c8389464
157b7a30d9
hex4f1a9f00

1327144704 has 72 divisors (see below), whose sum is σ = 3539513040. Its totient is φ = 441458688.

The previous prime is 1327144697. The next prime is 1327144717. The reversal of 1327144704 is 4074417231.

It is a super-2 number, since 2×13271447042 = 3522626130710495232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435474 + ... + 438510.

Almost surely, 21327144704 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 1327144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769756520).

1327144704 is an abundant number, since it is smaller than the sum of its proper divisors (2212368336).

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

1327144704 is an equidigital number, since it uses as much as digits as its factorization.

1327144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 1327144704 is about 36429.9973099093. The cubic root of 1327144704 is about 1098.9369078946.

It can be divided in two parts, 13271 and 44704, that added together give a palindrome (57975).

The spelling of 1327144704 in words is "one billion, three hundred twenty-seven million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 569 768 1138 1707 2276 3037 3414 4552 6074 6828 9104 9111 12148 13656 18208 18222 24296 27312 36416 36444 48592 54624 72832 72888 97184 109248 145664 145776 194368 218496 291552 388736 436992 583104 777472 1166208 1728053 2332416 3456106 5184159 6912212 10368318 13824424 20736636 27648848 41473272 55297696 82946544 110595392 165893088 221190784 331786176 442381568 663572352 1327144704