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1354642688 = 2871753839
BaseRepresentation
bin101000010111110…
…0011010100000000
310111101222222102102
41100233203110000
510233242031223
6342230405532
745366162410
oct12057432400
93441888372
101354642688
1163572a113
123198008a8
1318785a629
14cbca6640
157ddd5928
hex50be3500

1354642688 has 144 divisors (see below), whose sum is σ = 3337770240. Its totient is φ = 535461888.

The previous prime is 1354642669. The next prime is 1354642721. The reversal of 1354642688 is 8862464531.

It is a congruent number.

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, 1614173 + ... + 1615011.

It is an arithmetic number, because the mean of its divisors is an integer number (23178960).

Almost surely, 21354642688 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 1354642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668885120).

1354642688 is an abundant number, since it is smaller than the sum of its proper divisors (1983127552).

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

1354642688 is an equidigital number, since it uses as much as digits as its factorization.

1354642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 1354642688 is about 36805.4708976804. The cubic root of 1354642688 is about 1106.4749488053.

The spelling of 1354642688 in words is "one billion, three hundred fifty-four million, six hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 64 68 106 112 119 128 136 212 224 238 256 272 371 424 448 476 544 742 839 848 896 901 952 1088 1484 1678 1696 1792 1802 1904 2176 2968 3356 3392 3604 3808 4352 5873 5936 6307 6712 6784 7208 7616 11746 11872 12614 13424 13568 14263 14416 15232 23492 23744 25228 26848 28526 28832 30464 44467 46984 47488 50456 53696 57052 57664 88934 93968 94976 99841 100912 107392 114104 115328 177868 187936 199682 201824 214784 228208 230656 311269 355736 375872 399364 403648 456416 622538 711472 751744 755939 798728 807296 912832 1245076 1422944 1503488 1511878 1597456 1614592 1825664 2490152 2845888 3023756 3194912 3651328 4980304 5291573 5691776 6047512 6389824 9960608 10583146 11383552 12095024 12779648 19921216 21166292 24190048 25559296 39842432 42332584 48380096 79684864 84665168 96760192 169330336 193520384 338660672 677321344 1354642688