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3426084048 = 2432315312027
BaseRepresentation
bin1100110000110101…
…1110010011010000
322211202210002202210
43030031132103100
524004034142143
61323544512120
7150621143142
oct31415362320
98752702683
103426084048
1114a8a31722
127b747b640
13427a5958a
1424703ac92
15150bab033
hexcc35e4d0

3426084048 has 80 divisors (see below), whose sum is σ = 9246122496. Its totient is φ = 1091122560.

The previous prime is 3426084037. The next prime is 3426084059. The reversal of 3426084048 is 8404806243.

It is an interprime number because it is at equal distance from previous prime (3426084037) and next prime (3426084059).

It is a junction number, because it is equal to n+sod(n) for n = 3426083997 and 3426084015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689211 + ... + 1691237.

Almost surely, 23426084048 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 3426084048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623061248).

3426084048 is an abundant number, since it is smaller than the sum of its proper divisors (5820038448).

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

3426084048 is a wasteful number, since it uses less digits than its factorization.

3426084048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 3426084048 is about 58532.7604679636. The cubic root of 3426084048 is about 1507.5301418305.

The spelling of 3426084048 in words is "three billion, four hundred twenty-six million, eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1531 2027 3062 4054 4593 6081 6124 8108 9186 12162 12248 16216 18372 24324 24496 32432 35213 36744 46621 48648 70426 73488 93242 97296 105639 139863 140852 186484 211278 279726 281704 372968 422556 559452 563408 745936 845112 1118904 1690224 2237808 3103337 6206674 9310011 12413348 18620022 24826696 37240044 49653392 71376751 74480088 142753502 148960176 214130253 285507004 428260506 571014008 856521012 1142028016 1713042024 3426084048