Search a number
-
+
3481032240344 = 23194710725118143
BaseRepresentation
bin110010101001111101101…
…100001010110011011000
3110022210011010021221222202
4302221331230022303120
5424013123223142334
611223055241505332
7506332136556551
oct62517554126330
913283133257882
103481032240344
11112232aa4964a
124827927a2248
131c334c0bab49
14c06a8d75328
156083a05a17e
hex32a7db0acd8

3481032240344 has 128 divisors (see below), whose sum is σ = 7110822297600. Its totient is φ = 1592287056000.

The previous prime is 3481032240337. The next prime is 3481032240347. The reversal of 3481032240344 is 4430422301843.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3481032240298 and 3481032240307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481032240347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191857337 + ... + 191875479.

It is an arithmetic number, because the mean of its divisors is an integer number (55553299200).

Almost surely, 23481032240344 is an apocalyptic number.

It is an amenable number.

3481032240344 is an abundant number, since it is smaller than the sum of its proper divisors (3629790057256).

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

3481032240344 is a wasteful number, since it uses less digits than its factorization.

3481032240344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18573 (or 18569 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 3481032240344 in words is "three trillion, four hundred eighty-one billion, thirty-two million, two hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 19 38 47 76 94 107 152 188 214 251 376 428 502 856 893 1004 1786 2008 2033 3572 4066 4769 5029 7144 8132 9538 10058 11797 16264 18143 19076 20116 23594 26857 36286 38152 40232 47188 53714 72572 94376 95551 107428 145144 191102 214856 224143 344717 382204 448286 510283 689434 764408 852721 896572 1020566 1262279 1378868 1705442 1793144 1941301 2041132 2524558 2757736 3410884 3882602 4082264 4553893 5049116 6821768 7765204 9107786 10098232 15530408 16201699 18215572 23983301 32403398 36431144 36884719 47966602 64806796 73769438 86523967 91241147 95933204 129613592 147538876 173047934 182482294 191866408 214032971 295077752 346095868 364964588 428065942 487266551 692191736 729929176 856131884 974533102 1712263768 1733581793 1949066204 3467163586 3898132408 4066626449 6934327172 8133252898 9258064469 13868654344 16266505796 18516128938 22901527897 32533011592 37032257876 45803055794 74064515752 91606111588 183212223176 435129030043 870258060086 1740516120172 3481032240344