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1304220996 = 22321324632
BaseRepresentation
bin100110110111100…
…1101010101000100
310100220010021212100
41031233031111010
510132340032441
6333225552100
744214460401
oct11557152504
93326107770
101304220996
1160a2205a1
12304945630
1317a285300
14c52dd2a8
1579775cb6
hex4dbcd544

1304220996 has 81 divisors (see below), whose sum is σ = 3577613949. Its totient is φ = 400432032.

The previous prime is 1304220949. The next prime is 1304220997. The reversal of 1304220996 is 6990224031.

The square root of 1304220996 is 36114.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 192932100 + 1111288896 = 13890^2 + 33336^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1304220996.

It is not an unprimeable number, because it can be changed into a prime (1304220997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2816661 + ... + 2817123.

Almost surely, 21304220996 is an apocalyptic number.

1304220996 is the 36114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304220996

1304220996 is an abundant number, since it is smaller than the sum of its proper divisors (2273392953).

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

1304220996 is a wasteful number, since it uses less digits than its factorization.

1304220996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 1304220996 is about 1092.5728287113.

Multiplying 1304220996 by its sum of digits (36), we get a square (46951955856 = 2166842).

1304220996 divided by its sum of digits (36) gives a square (36228361 = 60192).

The spelling of 1304220996 in words is "one billion, three hundred four million, two hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 463 468 507 676 926 1014 1389 1521 1852 2028 2778 3042 4167 5556 6019 6084 8334 12038 16668 18057 24076 36114 54171 72228 78247 108342 156494 214369 216684 234741 312988 428738 469482 643107 704223 857476 938964 1286214 1408446 1929321 2572428 2786797 2816892 3858642 5573594 7717284 8360391 11147188 16720782 25081173 33441564 36228361 50162346 72456722 100324692 108685083 144913444 217370166 326055249 434740332 652110498 1304220996