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1240452312 = 233112795407
BaseRepresentation
bin100100111101111…
…1100110011011000
310012110010111200020
41021323330303120
510020023433222
6323031110440
742511446021
oct11173746330
93173114606
101240452312
11587226200
122a7512420
13169cb8b68
14baa5dc48
1573d7b65c
hex49efccd8

1240452312 has 96 divisors (see below), whose sum is σ = 3452467200. Its totient is φ = 371067840.

The previous prime is 1240452299. The next prime is 1240452319. The reversal of 1240452312 is 2132540421.

It is a super-2 number, since 2×12404523122 = 3077443876692290688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240452319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226713 + ... + 232119.

It is an arithmetic number, because the mean of its divisors is an integer number (35963200).

Almost surely, 21240452312 is an apocalyptic number.

1240452312 is a gapful number since it is divisible by the number (12) 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 1240452312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726233600).

1240452312 is an abundant number, since it is smaller than the sum of its proper divisors (2212014888).

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

1240452312 is a wasteful number, since it uses less digits than its factorization.

1240452312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1240452312 is about 35220.0555365831. The cubic root of 1240452312 is about 1074.4676829451.

Adding to 1240452312 its reverse (2132540421), we get a palindrome (3372992733).

The spelling of 1240452312 in words is "one billion, two hundred forty million, four hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 121 132 158 237 242 264 316 363 474 484 632 726 869 948 968 1452 1738 1896 2607 2904 3476 5214 5407 6952 9559 10428 10814 16221 19118 20856 21628 28677 32442 38236 43256 57354 59477 64884 76472 114708 118954 129768 178431 229416 237908 356862 427153 475816 654247 713724 854306 1281459 1308494 1427448 1708612 1962741 2562918 2616988 3417224 3925482 4698683 5125836 5233976 7850964 9397366 10251672 14096049 15701928 18794732 28192098 37589464 51685513 56384196 103371026 112768392 155056539 206742052 310113078 413484104 620226156 1240452312