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1100030440 = 23597509557
BaseRepresentation
bin100000110010001…
…0010000111101000
32211122220100002011
41001210102013220
54223101433230
6301053245304
736155050555
oct10144220750
92748810064
101100030440
11514a36173
12268493834
13146b917b2
14a6149a2c
156688ee2a
hex419121e8

1100030440 has 64 divisors (see below), whose sum is σ = 2509995600. Its totient is φ = 433840128.

The previous prime is 1100030431. The next prime is 1100030447. The reversal of 1100030440 is 440300011.

It can be written as a sum of positive squares in 8 ways, for example, as 367028964 + 733001476 = 19158^2 + 27074^2 .

It is a super-3 number, since 3×11000304403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100030440.

It is not an unprimeable number, because it can be changed into a prime (1100030447) 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 15 ways as a sum of consecutive naturals, for example, 1974642 + ... + 1975198.

Almost surely, 21100030440 is an apocalyptic number.

1100030440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100030440 is an abundant number, since it is smaller than the sum of its proper divisors (1409965160).

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

1100030440 is a wasteful number, since it uses less digits than its factorization.

1100030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1100030440 is about 33166.7068006457. The cubic root of 1100030440 is about 1032.2896373706.

Adding to 1100030440 its reverse (440300011), we get a palindrome (1540330451).

The spelling of 1100030440 in words is "one billion, one hundred million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 509 557 776 970 1018 1114 1940 2036 2228 2545 2785 3880 4072 4456 5090 5570 10180 11140 20360 22280 49373 54029 98746 108058 197492 216116 246865 270145 283513 394984 432232 493730 540290 567026 987460 1080580 1134052 1417565 1974920 2161160 2268104 2835130 5670260 11340520 27500761 55001522 110003044 137503805 220006088 275007610 550015220 1100030440