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3434413104 = 243237962929
BaseRepresentation
bin1100110010110100…
…1111110000110000
322212100110021002100
43030231033300300
524013202204404
61324443220400
7151052013123
oct31455176060
98770407070
103434413104
111502700441
127ba217700
134296b4705
142481a83ba
151517a3d39
hexccb4fc30

3434413104 has 60 divisors (see below), whose sum is σ = 9637100200. Its totient is φ = 1141765632.

The previous prime is 3434413067. The next prime is 3434413109. The reversal of 3434413104 is 4013144343.

3434413104 is a `hidden beast` number, since 3 + 4 + 344 + 1 + 310 + 4 = 666.

3434413104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3434413109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23112 + ... + 86040.

Almost surely, 23434413104 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 3434413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818550100).

3434413104 is an abundant number, since it is smaller than the sum of its proper divisors (6202687096).

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

3434413104 is a wasteful number, since it uses less digits than its factorization.

3434413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63322 (or 63313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3434413104 is about 58603.8659475636. The cubic root of 3434413104 is about 1508.7507911614.

Adding to 3434413104 its reverse (4013144343), we get a palindrome (7447557447).

The spelling of 3434413104 in words is "three billion, four hundred thirty-four million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 13644 18192 27288 54576 62929 125858 188787 251716 377574 503432 566361 755148 1006864 1132722 1510296 2265444 3020592 4530888 9061776 23850091 47700182 71550273 95400364 143100546 190800728 214650819 286201092 381601456 429301638 572402184 858603276 1144804368 1717206552 3434413104