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241004322 = 23413192317
BaseRepresentation
bin11100101110101…
…10111100100010
3121210111021210000
432113112330202
5443144114242
635525320430
75654334336
oct1627267442
9553437700
10241004322
1111404a129
1268866116
133ac13010
14240177c6
1516258a4c
hexe5d6f22

241004322 has 120 divisors (see below), whose sum is σ = 615724956. Its totient is φ = 70030656.

The previous prime is 241004299. The next prime is 241004329. The reversal of 241004322 is 223400142.

It can be written as a sum of positive squares in 2 ways, for example, as 191850201 + 49154121 = 13851^2 + 7011^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 241004295 and 241004304.

It is not an unprimeable number, because it can be changed into a prime (241004329) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 760108 + ... + 760424.

Almost surely, 2241004322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241004322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307862478).

241004322 is an abundant number, since it is smaller than the sum of its proper divisors (374720634).

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

241004322 is a wasteful number, since it uses less digits than its factorization.

241004322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241004322 is about 15524.3138978829. The cubic root of 241004322 is about 622.3121453772.

Adding to 241004322 its reverse (223400142), we get a palindrome (464404464).

The spelling of 241004322 in words is "two hundred forty-one million, four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 317 342 351 361 494 513 634 702 722 741 951 1026 1053 1083 1482 1539 1902 2106 2166 2223 2853 3078 3249 4121 4446 4693 5706 6023 6498 6669 8242 8559 9386 9747 12046 12363 13338 14079 17118 18069 19494 20007 24726 25677 28158 29241 36138 37089 40014 42237 51354 54207 58482 74178 78299 84474 108414 111267 114437 126711 156598 162621 222534 228874 234897 253422 325242 333801 343311 380133 469794 487863 667602 686622 704691 760266 975726 1029933 1409382 1487681 2059866 2114073 2975362 3089799 4228146 4463043 6179598 6342219 8926086 9269397 12684438 13389129 18538794 26778258 40167387 80334774 120502161 241004322