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1145434440 = 233524139607
BaseRepresentation
bin100010001000101…
…1111000101001000
32221211100002122210
41010101133011020
54321212400230
6305354345120
740246014003
oct10421370510
92854302583
101145434440
11538627937
1227b72b1a0
131533cac77
14ac1a853a
156a85ceb0
hex4445f148

1145434440 has 64 divisors (see below), whose sum is σ = 3450648960. Its totient is φ = 304174080.

The previous prime is 1145434379. The next prime is 1145434441. The reversal of 1145434440 is 444345411.

It is a super-2 number, since 2×11454344402 = 2624040112676227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1145434398 and 1145434407.

It is not an unprimeable number, because it can be changed into a prime (1145434441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9117 + ... + 48723.

It is an arithmetic number, because the mean of its divisors is an integer number (53916390).

Almost surely, 21145434440 is an apocalyptic number.

1145434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725324480).

1145434440 is an abundant number, since it is smaller than the sum of its proper divisors (2305214520).

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

1145434440 is a wasteful number, since it uses less digits than its factorization.

1145434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39862 (or 39858 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1145434440 is about 33844.2674614180. The cubic root of 1145434440 is about 1046.3012536110.

Adding to 1145434440 its reverse (444345411), we get a palindrome (1589779851).

The spelling of 1145434440 in words is "one billion, one hundred forty-five million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 39607 79214 118821 158428 198035 237642 316856 396070 475284 594105 792140 950568 1188210 1584280 2376420 4752840 9545287 19090574 28635861 38181148 47726435 57271722 76362296 95452870 114543444 143179305 190905740 229086888 286358610 381811480 572717220 1145434440