Search a number
-
+
5340003504 = 24311194312379
BaseRepresentation
bin1001111100100100…
…11111110010110000
3111210011011021200120
410332102133302300
541414020103004
62241514450240
7246221165223
oct47622376260
914704137616
105340003504
1122a0324740
121050433980
136714249b4
143892c95ba
15213c183d9
hex13e49fcb0

5340003504 has 160 divisors (see below), whose sum is σ = 16210867200. Its totient is φ = 1497242880.

The previous prime is 5340003481. The next prime is 5340003511. The reversal of 5340003504 is 4053000435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425187 + ... + 437565.

It is an arithmetic number, because the mean of its divisors is an integer number (101317920).

Almost surely, 25340003504 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 5340003504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105433600).

5340003504 is an abundant number, since it is smaller than the sum of its proper divisors (10870863696).

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

5340003504 is a wasteful number, since it uses less digits than its factorization.

5340003504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5340003504 is about 73075.3276010447. The cubic root of 5340003504 is about 1747.8889923868. Note that the first 3 decimals are identical.

Adding to 5340003504 its reverse (4053000435), we get a palindrome (9393003939).

The spelling of 5340003504 in words is "five billion, three hundred forty million, three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 43 44 48 57 66 76 86 88 114 129 132 152 172 176 209 228 258 264 304 344 418 456 473 516 528 627 688 817 836 912 946 1032 1254 1419 1634 1672 1892 2064 2451 2508 2838 3268 3344 3784 4902 5016 5676 6536 7568 8987 9804 10032 11352 12379 13072 17974 19608 22704 24758 26961 35948 37137 39216 49516 53922 71896 74274 99032 107844 136169 143792 148548 198064 215688 235201 272338 297096 408507 431376 470402 532297 544676 594192 705603 817014 940804 1064594 1089352 1411206 1596891 1634028 1881608 2129188 2178704 2587211 2822412 3193782 3268056 3763216 4258376 5174422 5644824 5855267 6387564 6536112 7761633 8516752 10113643 10348844 11289648 11710534 12775128 15523266 17565801 20227286 20697688 23421068 25550256 30340929 31046532 35131602 40454572 41395376 46842136 60681858 62093064 70263204 80909144 93684272 111250073 121363716 124186128 140526408 161818288 222500146 242727432 281052816 333750219 445000292 485454864 667500438 890000584 1335000876 1780001168 2670001752 5340003504