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3454949008 = 247312414129
BaseRepresentation
bin1100110111101110…
…0101011010010000
322220210002121001101
43031323211122100
524033431332013
61330455314144
7151421403430
oct31573453220
98823077041
103454949008
111513257365
1280507b954
13430a24a34
1424abd22c0
151534ad8dd
hexcdee5690

3454949008 has 80 divisors (see below), whose sum is σ = 7931714560. Its totient is φ = 1426636800.

The previous prime is 3454948997. The next prime is 3454949027. The reversal of 3454949008 is 8009494543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834688 + ... + 838816.

It is an arithmetic number, because the mean of its divisors is an integer number (99146432).

Almost surely, 23454949008 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 3454949008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965857280).

3454949008 is an abundant number, since it is smaller than the sum of its proper divisors (4476765552).

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

3454949008 is a wasteful number, since it uses less digits than its factorization.

3454949008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 3454949008 is about 58778.8142786157. The cubic root of 3454949008 is about 1511.7519842725.

The spelling of 3454949008 in words is "three billion, four hundred fifty-four million, nine hundred forty-nine thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 241 248 434 482 496 868 964 1687 1736 1928 3374 3472 3856 4129 6748 7471 8258 13496 14942 16516 26992 28903 29884 33032 52297 57806 59768 66064 104594 115612 119536 127999 209188 231224 255998 418376 462448 511996 836752 895993 995089 1023992 1791986 1990178 2047984 3583972 3980356 6965623 7167944 7960712 13931246 14335888 15921424 27862492 30847759 55724984 61695518 111449968 123391036 215934313 246782072 431868626 493564144 863737252 1727474504 3454949008