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1320131304 = 233343891597
BaseRepresentation
bin100111010101111…
…1001101011101000
310102000001121201000
41032223321223220
510200423200204
6334554555000
744466634212
oct11653715350
93360047630
101320131304
116181a8208
1230a138a60
131806660ab
14c74815b2
157ad6a039
hex4eaf9ae8

1320131304 has 128 divisors (see below), whose sum is σ = 3796848000. Its totient is φ = 424714752.

The previous prime is 1320131291. The next prime is 1320131321. The reversal of 1320131304 is 4031310231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825834 + ... + 827430.

It is an arithmetic number, because the mean of its divisors is an integer number (29662875).

Almost surely, 21320131304 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 1320131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898424000).

1320131304 is an abundant number, since it is smaller than the sum of its proper divisors (2476716696).

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

1320131304 is a wasteful number, since it uses less digits than its factorization.

1320131304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1320131304 is about 36333.6112160627. The cubic root of 1320131304 is about 1096.9976818583.

Adding to 1320131304 its reverse (4031310231), we get a palindrome (5351441535).

The spelling of 1320131304 in words is "one billion, three hundred twenty million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 89 108 129 172 178 216 258 267 344 356 387 516 534 712 774 801 1032 1068 1161 1548 1597 1602 2136 2322 2403 3096 3194 3204 3827 4644 4791 4806 6388 6408 7654 9288 9582 9612 11481 12776 14373 15308 19164 19224 22962 28746 30616 34443 38328 43119 45924 57492 68671 68886 86238 91848 103329 114984 137342 137772 142133 172476 206013 206658 274684 275544 284266 344952 412026 413316 426399 549368 568532 618039 824052 826632 852798 1137064 1236078 1279197 1648104 1705596 1854117 2472156 2558394 3411192 3708234 3837591 4944312 5116788 6111719 7416468 7675182 10233576 12223438 14832936 15350364 18335157 24446876 30700728 36670314 48893752 55005471 73340628 110010942 146681256 165016413 220021884 330032826 440043768 660065652 1320131304