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11343001344 = 283101257569
BaseRepresentation
bin10101001000001100…
…00111011100000000
31002021111212011121220
422210012013130000
5141212302020334
65113315515040
7551042630523
oct124406073400
932244764556
1011343001344
1148a0912884
1222468b8a80
1310ba00011c
14798678bba
15465c44449
hex2a4187700

11343001344 has 144 divisors (see below), whose sum is σ = 30660245280. Its totient is φ = 3722444800.

The previous prime is 11343001343. The next prime is 11343001367. The reversal of 11343001344 is 44310034311.

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 (11343001343) 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, 19934692 + ... + 19935260.

It is an arithmetic number, because the mean of its divisors is an integer number (212918370).

Almost surely, 211343001344 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 11343001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330122640).

11343001344 is an abundant number, since it is smaller than the sum of its proper divisors (19317243936).

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

11343001344 is a wasteful number, since it uses less digits than its factorization.

11343001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11343001344 its reverse (44310034311), we get a palindrome (55653035655).

The spelling of 11343001344 in words is "eleven billion, three hundred forty-three million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 257 303 384 404 514 569 606 768 771 808 1028 1138 1212 1542 1616 1707 2056 2276 2424 3084 3232 3414 4112 4552 4848 6168 6464 6828 8224 9104 9696 12336 12928 13656 16448 18208 19392 24672 25856 25957 27312 32896 36416 38784 49344 51914 54624 57469 65792 72832 77568 77871 98688 103828 109248 114938 145664 146233 155742 172407 197376 207656 218496 229876 292466 311484 344814 415312 436992 438699 459752 584932 622968 689628 830624 877398 919504 1169864 1245936 1379256 1661248 1754796 1839008 2339728 2491872 2758512 3322496 3509592 3678016 4679456 4983744 5517024 6644992 7019184 7356032 9358912 9967488 11034048 14038368 14712064 14769533 18717824 19934976 22068096 28076736 29539066 37435648 44136192 44308599 56153472 59078132 88617198 112306944 118156264 177234396 236312528 354468792 472625056 708937584 945250112 1417875168 1890500224 2835750336 3781000448 5671500672 11343001344