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1348562944 = 21217107181
BaseRepresentation
bin101000001100001…
…0111000000000000
310110222120002120201
41100120113000000
510230213003234
6341452214544
745263411251
oct12030270000
93428502521
101348562944
11632257333
1231776a454
1318650c251
14cb162b28
157d5d4314
hex50617000

1348562944 has 104 divisors (see below), whose sum is σ = 2898041328. Its totient is φ = 625213440.

The previous prime is 1348562923. The next prime is 1348562951. The reversal of 1348562944 is 4492658431.

It is a junction number, because it is equal to n+sod(n) for n = 1348562894 and 1348562903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7450534 + ... + 7450714.

It is an arithmetic number, because the mean of its divisors is an integer number (27865782).

Almost surely, 21348562944 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 1348562944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449020664).

1348562944 is an abundant number, since it is smaller than the sum of its proper divisors (1549478384).

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

1348562944 is a wasteful number, since it uses less digits than its factorization.

1348562944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 1348562944 is about 36722.7850795661. The cubic root of 1348562944 is about 1104.8171503921.

The spelling of 1348562944 in words is "one billion, three hundred forty-eight million, five hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 181 214 256 272 362 428 512 544 724 856 1024 1088 1448 1712 1819 2048 2176 2896 3077 3424 3638 4096 4352 5792 6154 6848 7276 8704 11584 12308 13696 14552 17408 19367 23168 24616 27392 29104 34816 38734 46336 49232 54784 58208 69632 77468 92672 98464 109568 116416 154936 185344 196928 219136 232832 309872 329239 370688 393856 438272 465664 619744 658478 741376 787712 931328 1239488 1316956 1575424 1862656 2478976 2633912 3150848 3725312 4957952 5267824 6301696 7450624 9915904 10535648 12603392 19831808 21071296 39663616 42142592 79327232 84285184 168570368 337140736 674281472 1348562944