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10000349408 = 25744644417
BaseRepresentation
bin10010101000001000…
…10011100011100000
3221210221102101102102
421110010103203200
5130440042140113
64332154105532
7502550365430
oct112404234340
927727371372
1010000349408
114271a33585
121b3111b2a8
13c34ab051a
146ac2142c0
153d7e2b758
hex2541138e0

10000349408 has 24 divisors (see below), whose sum is σ = 22500786672. Its totient is φ = 4285863936.

The previous prime is 10000349407. The next prime is 10000349417. The reversal of 10000349408 is 80494300001.

It is a super-3 number, since 3×100003494083 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000349407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22321985 + ... + 22322432.

It is an arithmetic number, because the mean of its divisors is an integer number (937532778).

Almost surely, 210000349408 is an apocalyptic number.

It is an amenable number.

10000349408 is an abundant number, since it is smaller than the sum of its proper divisors (12500437264).

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

10000349408 is an equidigital number, since it uses as much as digits as its factorization.

10000349408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44644434 (or 44644426 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 10000349408 its reverse (80494300001), we get a palindrome (90494649409).

The spelling of 10000349408 in words is "ten billion, three hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 44644417 89288834 178577668 312510919 357155336 625021838 714310672 1250043676 1428621344 2500087352 5000174704 10000349408