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1132400340 = 2232561151683
BaseRepresentation
bin100001101111111…
…0000111011010100
32220220210220020100
41003133300323110
54304343302330
6304211134100
740030146501
oct10337607324
92826726210
101132400340
11531235155
122772a4330
131507b6396
14aa5744a8
1569636060
hex437f0ed4

1132400340 has 144 divisors (see below), whose sum is σ = 3519524736. Its totient is φ = 294624000.

The previous prime is 1132400303. The next prime is 1132400351. The reversal of 1132400340 is 430042311.

1132400340 is a `hidden beast` number, since 1 + 1 + 324 + 0 + 0 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657639 + ... + 1658321.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144).

Almost surely, 21132400340 is an apocalyptic number.

1132400340 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 1132400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759762368).

1132400340 is an abundant number, since it is smaller than the sum of its proper divisors (2387124396).

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

1132400340 is a wasteful number, since it uses less digits than its factorization.

1132400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1132400340 is about 33651.1565923075. The cubic root of 1132400340 is about 1042.3174222643.

Adding to 1132400340 its reverse (430042311), we get a palindrome (1562442651).

The spelling of 1132400340 in words is "one billion, one hundred thirty-two million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 151 180 183 244 302 305 366 453 549 604 610 683 732 755 906 915 1098 1220 1359 1366 1510 1812 1830 2049 2196 2265 2718 2732 2745 3020 3415 3660 4098 4530 5436 5490 6147 6795 6830 8196 9060 9211 10245 10980 12294 13590 13660 18422 20490 24588 27180 27633 30735 36844 40980 41663 46055 55266 61470 82899 83326 92110 103133 110532 122940 124989 138165 165798 166652 184220 206266 208315 249978 276330 309399 331596 374967 412532 414495 416630 499956 515665 552660 618798 624945 749934 828990 833260 928197 1031330 1237596 1249890 1499868 1546995 1657980 1856394 1874835 2062660 2499780 3093990 3712788 3749670 4640985 6187980 6291113 7499340 9281970 12582226 18563940 18873339 25164452 31455565 37746678 56620017 62911130 75493356 94366695 113240034 125822260 188733390 226480068 283100085 377466780 566200170 1132400340