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3400393930794 = 232727352812629
BaseRepresentation
bin110001011110110111010…
…001011011100000101010
3110001002000022002101220100
4301132313101123200222
5421203001321241134
611122041443010230
7500445634341300
oct61366721334052
913032008071810
103400393930794
1110a110a7a9113
1246b029069976
131b886a966193
14ba819520270
155d6baa02999
hex317b745b82a

3400393930794 has 72 divisors (see below), whose sum is σ = 8687783260260. Its totient is φ = 958232322432.

The previous prime is 3400393930793. The next prime is 3400393930859. The reversal of 3400393930794 is 4970393930043.

It can be written as a sum of positive squares in 2 ways, for example, as 3311508260025 + 88885670769 = 1819755^2 + 298137^2 .

It is a super-2 number, since 2×34003939307942 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3400393930794.

It is not an unprimeable number, because it can be changed into a prime (3400393930793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26341929 + ... + 26470700.

Almost surely, 23400393930794 is an apocalyptic number.

3400393930794 is an abundant number, since it is smaller than the sum of its proper divisors (5287389329466).

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

3400393930794 is a wasteful number, since it uses less digits than its factorization.

3400393930794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52812724 (or 52812714 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 54.

The spelling of 3400393930794 in words is "three trillion, four hundred billion, three hundred ninety-three million, nine hundred thirty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 98 126 146 147 219 294 438 441 511 657 882 1022 1314 1533 3066 3577 4599 7154 9198 10731 21462 32193 64386 52812629 105625258 158437887 316875774 369688403 475313661 739376806 950627322 1109065209 2218130418 2587818821 3327195627 3855321917 5175637642 6654391254 7710643834 7763456463 11565965751 15526912926 23131931502 23290369389 26987253419 34697897253 46580738778 53974506838 69395794506 80961760257 161923520514 188910773933 242885280771 377821547866 485770561542 566732321799 1133464643598 1700196965397 3400393930794