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1342043264 = 27194759199
BaseRepresentation
bin100111111111101…
…1111010010000000
310110112021212021002
41033333133102000
510222030341024
6341100351132
745154115402
oct11777372200
93415255232
101342043264
11629603a71
123155454a8
13185068853
14ca346b72
157cc476ae
hex4ffdf480

1342043264 has 128 divisors (see below), whose sum is σ = 2937600000. Its totient is φ = 608560128.

The previous prime is 1342043251. The next prime is 1342043273. The reversal of 1342043264 is 4623402431.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6743837 + ... + 6744035.

It is an arithmetic number, because the mean of its divisors is an integer number (22950000).

Almost surely, 21342043264 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 1342043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800000).

1342043264 is an abundant number, since it is smaller than the sum of its proper divisors (1595556736).

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

1342043264 is a wasteful number, since it uses less digits than its factorization.

1342043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 1342043264 is about 36633.9086639687. The cubic root of 1342043264 is about 1103.0338463191.

Adding to 1342043264 its reverse (4623402431), we get a palindrome (5965445695).

The spelling of 1342043264 in words is "one billion, three hundred forty-two million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 47 59 64 76 94 118 128 152 188 199 236 304 376 398 472 608 752 796 893 944 1121 1216 1504 1592 1786 1888 2242 2432 2773 3008 3184 3572 3776 3781 4484 5546 6016 6368 7144 7552 7562 8968 9353 11092 11741 12736 14288 15124 17936 18706 22184 23482 25472 28576 30248 35872 37412 44368 46964 52687 57152 60496 71744 74824 88736 93928 105374 114304 120992 143488 149648 177472 177707 187856 210748 223079 241984 299296 354944 355414 375712 421496 446158 483968 551827 598592 710828 751424 842992 892316 1103654 1197184 1421656 1502848 1685984 1784632 2207308 2843312 3371968 3569264 4414616 5686624 6743936 7138528 8829232 10484713 11373248 14277056 17658464 20969426 22746496 28554112 35316928 41938852 70633856 83877704 167755408 335510816 671021632 1342043264