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1341405072 = 2432710712437
BaseRepresentation
bin100111111110100…
…0011011110010000
310110111002102211100
41033331003132100
510221344430242
6341034544400
745145516650
oct11775033620
93414072740
101341405072
11629208537
12315298100
13184ba4217
14ca21c360
157cb6d54c
hex4ff43790

1341405072 has 120 divisors (see below), whose sum is σ = 4330812096. Its totient is φ = 379646208.

The previous prime is 1341405031. The next prime is 1341405083. The reversal of 1341405072 is 2705041431.

1341405072 is a `hidden beast` number, since 13 + 4 + 140 + 507 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101638 + ... + 114074.

Almost surely, 21341405072 is an apocalyptic number.

1341405072 is a gapful number since it is divisible by the number (12) 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 1341405072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165406048).

1341405072 is an abundant number, since it is smaller than the sum of its proper divisors (2989407024).

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

1341405072 is a wasteful number, since it uses less digits than its factorization.

1341405072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12565 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1341405072 is about 36625.1972281379. The cubic root of 1341405072 is about 1102.8589739164.

The spelling of 1341405072 in words is "one billion, three hundred forty-one million, four hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 252 321 336 428 504 642 749 856 963 1008 1284 1498 1712 1926 2247 2568 2996 3852 4494 5136 5992 6741 7704 8988 11984 12437 13482 15408 17976 24874 26964 35952 37311 49748 53928 74622 87059 99496 107856 111933 149244 174118 198992 223866 261177 298488 348236 447732 522354 596976 696472 783531 895464 1044708 1330759 1392944 1567062 1790928 2089416 2661518 3134124 3992277 4178832 5323036 6268248 7984554 9315313 10646072 11976831 12536496 15969108 18630626 21292144 23953662 27945939 31938216 37261252 47907324 55891878 63876432 74522504 83837817 95814648 111783756 149045008 167675634 191629296 223567512 335351268 447135024 670702536 1341405072