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3454434544 = 2411171279091
BaseRepresentation
bin1100110111100110…
…0111110011110000
322220202010110100011
43031321213303300
524033313401134
61330440304304
7151414131511
oct31571476360
98822113304
103454434544
111512a35890
12804a72094
134308a4812
1424aadaa08
1515340b264
hexcde67cf0

3454434544 has 80 divisors (see below), whose sum is σ = 7792644096. Its totient is φ = 1466035200.

The previous prime is 3454434481. The next prime is 3454434551. The reversal of 3454434544 is 4454344543.

It is a junction number, because it is equal to n+sod(n) for n = 3454434497 and 3454434506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375439 + ... + 384529.

Almost surely, 23454434544 is an apocalyptic number.

3454434544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454434544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896322048).

3454434544 is an abundant number, since it is smaller than the sum of its proper divisors (4338209552).

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

3454434544 is a wasteful number, since it uses less digits than its factorization.

3454434544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9248 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The square root of 3454434544 is about 58774.4378450360. The cubic root of 3454434544 is about 1511.6769440352.

Subtracting 3454434544 from its reverse (4454344543), we obtain a palindrome (999909999).

The spelling of 3454434544 in words is "three billion, four hundred fifty-four million, four hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 127 136 176 187 254 272 374 508 748 1016 1397 1496 2032 2159 2794 2992 4318 5588 8636 9091 11176 17272 18182 22352 23749 34544 36364 47498 72728 94996 100001 145456 154547 189992 200002 309094 379984 400004 618188 800008 1154557 1236376 1600016 1700017 2309114 2472752 3400034 4618228 6800068 9236456 12700127 13600136 18472912 19627469 25400254 27200272 39254938 50800508 78509876 101601016 157019752 203202032 215902159 314039504 431804318 863608636 1727217272 3454434544