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3520090296 = 2332297432269
BaseRepresentation
bin1101000111010000…
…0101000010111000
3100002022200010002200
43101310011002320
524202120342141
61341143430200
7153142162632
oct32164050270
910068603080
103520090296
111546aa9a38
12822a55360
13441381b88
1425570ba52
15159079ab6
hexd1d050b8

3520090296 has 96 divisors (see below), whose sum is σ = 9879948000. Its totient is φ = 1130879232.

The previous prime is 3520090291. The next prime is 3520090297. The reversal of 3520090296 is 6920900253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3520090296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520090291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550250 + ... + 1552518.

It is an arithmetic number, because the mean of its divisors is an integer number (102916125).

Almost surely, 23520090296 is an apocalyptic number.

3520090296 is a gapful number since it is divisible by the number (36) 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 3520090296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939974000).

3520090296 is an abundant number, since it is smaller than the sum of its proper divisors (6359857704).

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

3520090296 is a wasteful number, since it uses less digits than its factorization.

3520090296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3520090296 is about 59330.3488612700. The cubic root of 3520090296 is about 1521.1939914432.

The spelling of 3520090296 in words is "three billion, five hundred twenty million, ninety thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 743 1044 1486 2088 2229 2269 2972 4458 4538 5944 6687 6807 8916 9076 13374 13614 17832 18152 20421 21547 26748 27228 40842 43094 53496 54456 64641 65801 81684 86188 129282 131602 163368 172376 193923 197403 258564 263204 387846 394806 517128 526408 592209 775692 789612 1184418 1551384 1579224 1685867 2368836 3371734 4737672 5057601 6743468 10115202 13486936 15172803 20230404 30345606 40460808 48890143 60691212 97780286 121382424 146670429 195560572 293340858 391121144 440011287 586681716 880022574 1173363432 1760045148 3520090296