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3349420531400 = 235253315983069
BaseRepresentation
bin110000101111011001000…
…001010101111011001000
3102212012102212122102100002
4300233121001111323020
5414334103124001100
611042411430102132
7463662522524366
oct60573101257310
912765385572302
103349420531400
111081532630759
124611821aa948
131b3b06340ba8
14b8181808636
155c1d59832d5
hex30bd9055ec8

3349420531400 has 48 divisors (see below), whose sum is σ = 7934334887700. Its totient is φ = 1314489562880.

The previous prime is 3349420531393. The next prime is 3349420531463. The reversal of 3349420531400 is 41350249433.

It can be written as a sum of positive squares in 6 ways, for example, as 2665924810756 + 683495720644 = 1632766^2 + 826738^2 .

It is a super-2 number, since 2×33494205314002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157980935 + ... + 158002134.

Almost surely, 23349420531400 is an apocalyptic number.

It is an amenable number.

3349420531400 is an abundant number, since it is smaller than the sum of its proper divisors (4584914356300).

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

3349420531400 is a wasteful number, since it uses less digits than its factorization.

3349420531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315983138 (or 315983129 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 3349420531400 in words is "three trillion, three hundred forty-nine billion, four hundred twenty million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 315983069 631966138 1263932276 1579915345 2527864552 3159830690 6319661380 7899576725 12639322760 15799153450 16747102657 31598306900 33494205314 63196613800 66988410628 83735513285 133976821256 167471026570 334942053140 418677566425 669884106280 837355132850 1674710265700 3349420531400