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3346482390 = 2353728110729
BaseRepresentation
bin1100011101110111…
…0100010011010110
322122012222220211020
43013131310103112
523323144414030
61312022422010
7145633426266
oct30735642326
98565886736
103346482390
111468002829
12794891906
134144085c4
1423a6397a6
15148bd5510
hexc77744d6

3346482390 has 64 divisors (see below), whose sum is σ = 8278752960. Its totient is φ = 865105920.

The previous prime is 3346482371. The next prime is 3346482397. The reversal of 3346482390 is 932846433.

It is a super-2 number, since 2×33464823902 = 22397888773160224200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346482397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306546 + ... + 317274.

It is an arithmetic number, because the mean of its divisors is an integer number (129355515).

Almost surely, 23346482390 is an apocalyptic number.

3346482390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346482390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139376480).

3346482390 is an abundant number, since it is smaller than the sum of its proper divisors (4932270570).

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

3346482390 is a wasteful number, since it uses less digits than its factorization.

3346482390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11057.

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 3346482390 is about 57848.7890106612. The cubic root of 3346482390 is about 1495.7632132478.

The spelling of 3346482390 in words is "three billion, three hundred forty-six million, four hundred eighty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 281 370 555 562 843 1110 1405 1686 2810 4215 8430 10397 10729 20794 21458 31191 32187 51985 53645 62382 64374 103970 107290 155955 160935 311910 321870 396973 793946 1190919 1984865 2381838 3014849 3969730 5954595 6029698 9044547 11909190 15074245 18089094 30148490 45222735 90445470 111549413 223098826 334648239 557747065 669296478 1115494130 1673241195 3346482390