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1381729344 = 263103109641
BaseRepresentation
bin101001001011011…
…1000010001000000
310120021222010022220
41102112320101000
510312210314334
6345035131040
746145335302
oct12226702100
93507863286
101381729344
11649a4a786
123268a3a80
13190352538
14d1717972
1581486449
hex525b8440

1381729344 has 112 divisors (see below), whose sum is σ = 3730995840. Its totient is φ = 451215360.

The previous prime is 1381729337. The next prime is 1381729351. The reversal of 1381729344 is 4439271831.

It is an interprime number because it is at equal distance from previous prime (1381729337) and next prime (1381729351).

It is a junction number, because it is equal to n+sod(n) for n = 1381729296 and 1381729305.

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, 2155264 + ... + 2155904.

Almost surely, 21381729344 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 1381729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865497920).

1381729344 is an abundant number, since it is smaller than the sum of its proper divisors (2349266496).

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

1381729344 is a wasteful number, since it uses less digits than its factorization.

1381729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 1381729344 is about 37171.6201422537. The cubic root of 1381729344 is about 1113.8011457074.

The spelling of 1381729344 in words is "one billion, three hundred eighty-one million, seven hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 109 192 206 218 309 327 412 436 618 641 654 824 872 1236 1282 1308 1648 1744 1923 2472 2564 2616 3296 3488 3846 4944 5128 5232 6592 6976 7692 9888 10256 10464 11227 15384 19776 20512 20928 22454 30768 33681 41024 44908 61536 66023 67362 69869 89816 123072 132046 134724 139738 179632 198069 209607 264092 269448 279476 359264 396138 419214 528184 538896 558952 718528 792276 838428 1056368 1077792 1117904 1584552 1676856 2112736 2155584 2235808 3169104 3353712 4225472 4471616 6338208 6707424 7196507 12676416 13414848 14393014 21589521 28786028 43179042 57572056 86358084 115144112 172716168 230288224 345432336 460576448 690864672 1381729344