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2323476768 = 253172831009
BaseRepresentation
bin1000101001111101…
…0111000100100000
312222221000211221010
42022133113010200
514224302224033
61022320100520
7111402140514
oct21237270440
95887024833
102323476768
11a925a6538
1254a164740
132b04a4c32
14180820144
15d8eac863
hex8a7d7120

2323476768 has 144 divisors (see below), whose sum is σ = 6563561760. Its totient is φ = 719437824.

The previous prime is 2323476761. The next prime is 2323476773. The reversal of 2323476768 is 8676743232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2323476761) 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, 2302248 + ... + 2303256.

It is an arithmetic number, because the mean of its divisors is an integer number (45580290).

Almost surely, 22323476768 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 2323476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281780880).

2323476768 is an abundant number, since it is smaller than the sum of its proper divisors (4240084992).

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

2323476768 is a wasteful number, since it uses less digits than its factorization.

2323476768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1114 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 2323476768 is about 48202.4560370112. The cubic root of 2323476768 is about 1324.4821553940.

The spelling of 2323476768 in words is "two billion, three hundred twenty-three million, four hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 289 332 408 498 544 578 664 816 867 996 1009 1156 1328 1411 1632 1734 1992 2018 2312 2656 2822 3027 3468 3984 4036 4233 4624 5644 6054 6936 7968 8072 8466 9248 11288 12108 13872 16144 16932 17153 22576 23987 24216 27744 32288 33864 34306 45152 47974 48432 51459 67728 68612 71961 83747 95948 96864 102918 135456 137224 143922 167494 191896 205836 251241 274448 287844 291601 334988 383792 411672 502482 548896 575688 583202 669976 767584 823344 874803 1004964 1151376 1166404 1339952 1423699 1646688 1749606 2009928 2302752 2332808 2679904 2847398 3499212 4019856 4271097 4665616 5694796 6998424 8039712 8542194 9331232 11389592 13996848 17084388 22779184 24202883 27993696 34168776 45558368 48405766 68337552 72608649 96811532 136675104 145217298 193623064 290434596 387246128 580869192 774492256 1161738384 2323476768