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2343121152 = 28317197911
BaseRepresentation
bin1000101110101001…
…0011000100000000
320001021222212221220
42023222103010000
514244314334102
61024301115040
7112031126001
oct21352230400
96037885856
102343121152
11aa26a3669
12554858a80
132b4592528
141832951a8
15daa8d1bc
hex8ba93100

2343121152 has 144 divisors (see below), whose sum is σ = 6643752192. Its totient is φ = 730562560.

The previous prime is 2343121133. The next prime is 2343121153. The reversal of 2343121152 is 2511213432.

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

It is not an unprimeable number, because it can be changed into a prime (2343121153) 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, 2571577 + ... + 2572487.

It is an arithmetic number, because the mean of its divisors is an integer number (46137168).

Almost surely, 22343121152 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 2343121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321876096).

2343121152 is an abundant number, since it is smaller than the sum of its proper divisors (4300631040).

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

2343121152 is a wasteful number, since it uses less digits than its factorization.

2343121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2343121152 is about 48405.7966776707. The cubic root of 2343121152 is about 1328.2044007244.

Adding to 2343121152 its reverse (2511213432), we get a palindrome (4854334584).

The spelling of 2343121152 in words is "two billion, three hundred forty-three million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 197 204 256 272 384 394 408 544 591 768 788 816 911 1088 1182 1576 1632 1822 2176 2364 2733 3152 3264 3349 3644 4352 4728 5466 6304 6528 6698 7288 9456 10047 10932 12608 13056 13396 14576 15487 18912 20094 21864 25216 26792 29152 30974 37824 40188 43728 46461 50432 53584 58304 61948 75648 80376 87456 92922 107168 116608 123896 151296 160752 174912 179467 185844 214336 233216 247792 321504 349824 358934 371688 428672 495584 538401 643008 699648 717868 743376 857344 991168 1076802 1286016 1435736 1486752 1982336 2153604 2572032 2871472 2973504 3050939 3964672 4307208 5742944 5947008 6101878 8614416 9152817 11485888 11894016 12203756 17228832 18305634 22971776 24407512 34457664 36611268 45943552 48815024 68915328 73222536 97630048 137830656 146445072 195260096 292890144 390520192 585780288 781040384 1171560576 2343121152