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1341311004 = 22321119473793
BaseRepresentation
bin100111111110010…
…1100100000011100
310110110220122210100
41033330230200130
510221333423004
6341032541100
745144645465
oct11774544034
93413818710
101341311004
116291538a0
12315251790
13184b70467
14ca1d5d6c
157cb50739
hex4ff2c81c

1341311004 has 144 divisors (see below), whose sum is σ = 3977326080. Its totient is φ = 376773120.

The previous prime is 1341311003. The next prime is 1341311029. The reversal of 1341311004 is 4001131431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341311003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351732 + ... + 355524.

It is an arithmetic number, because the mean of its divisors is an integer number (27620320).

Almost surely, 21341311004 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 1341311004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988663040).

1341311004 is an abundant number, since it is smaller than the sum of its proper divisors (2636015076).

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

1341311004 is a wasteful number, since it uses less digits than its factorization.

1341311004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1341311004 is about 36623.9130077604. The cubic root of 1341311004 is about 1102.8331934455.

Adding to 1341311004 its reverse (4001131431), we get a palindrome (5342442435).

The spelling of 1341311004 in words is "one billion, three hundred forty-one million, three hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 47 57 66 76 94 99 114 132 141 171 188 198 209 228 282 342 396 418 423 517 564 627 684 836 846 893 1034 1254 1551 1692 1786 1881 2068 2508 2679 3102 3572 3762 3793 4653 5358 6204 7524 7586 8037 9306 9823 10716 11379 15172 16074 18612 19646 22758 29469 32148 34137 39292 41723 45516 58938 68274 72067 83446 88407 117876 125169 136548 144134 166892 176814 178271 216201 250338 288268 353628 356542 375507 432402 500676 534813 648603 713084 751014 792737 864804 1069626 1297206 1502028 1585474 1604439 1960981 2139252 2378211 2594412 3170948 3208878 3387149 3921962 4756422 5882943 6417756 6774298 7134633 7843924 9512844 10161447 11765886 13548596 14269266 17648829 20322894 23531772 28538532 30484341 35297658 37258639 40645788 60968682 70595316 74517278 111775917 121937364 149034556 223551834 335327751 447103668 670655502 1341311004