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2319877344 = 253791132707
BaseRepresentation
bin1000101001000110…
…1000010011100000
312222200020222110010
42022101220103200
514222342033334
61022111004520
7111326426541
oct21221502340
95880228403
102319877344
11a90568204
12548b09740
132ac8147b5
141801644c8
15d89eb0e9
hex8a4684e0

2319877344 has 96 divisors (see below), whose sum is σ = 6223633920. Its totient is φ = 756467712.

The previous prime is 2319877321. The next prime is 2319877361. The reversal of 2319877344 is 4437789132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2319877293 and 2319877302.

It is a congruent number.

It is an unprimeable number.

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, 855639 + ... + 858345.

It is an arithmetic number, because the mean of its divisors is an integer number (64829520).

Almost surely, 22319877344 is an apocalyptic number.

2319877344 is a gapful number since it is divisible by the number (24) 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 2319877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111816960).

2319877344 is an abundant number, since it is smaller than the sum of its proper divisors (3903756576).

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

2319877344 is a wasteful number, since it uses less digits than its factorization.

2319877344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2904 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 2319877344 is about 48165.1050450427. The cubic root of 2319877344 is about 1323.7978595085.

The spelling of 2319877344 in words is "two billion, three hundred nineteen million, eight hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 113 158 226 237 316 339 452 474 632 678 904 948 1264 1356 1808 1896 2528 2707 2712 3616 3792 5414 5424 7584 8121 8927 10828 10848 16242 17854 21656 26781 32484 35708 43312 53562 64968 71416 86624 107124 129936 142832 213853 214248 259872 285664 305891 427706 428496 611782 641559 855412 856992 917673 1223564 1283118 1710824 1835346 2447128 2566236 3421648 3670692 4894256 5132472 6843296 7341384 9788512 10264944 14682768 20529888 24165389 29365536 48330778 72496167 96661556 144992334 193323112 289984668 386646224 579969336 773292448 1159938672 2319877344