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3378860430 = 235114126091
BaseRepresentation
bin1100100101100101…
…0101000110001110
322201110220220010220
43021121111012032
523404442013210
61315140412210
7146505561021
oct31131250616
98643826126
103378860430
111484307940
127a36a7066
1341b033aca
14240a671b8
1514b97dc70
hexc965518e

3378860430 has 96 divisors (see below), whose sum is σ = 9068989824. Its totient is φ = 799008000.

The previous prime is 3378860413. The next prime is 3378860431. The reversal of 3378860430 is 340688733.

It is a super-2 number, since 2×33788604302 = 22833395610839569800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378860431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551685 + ... + 557775.

It is an arithmetic number, because the mean of its divisors is an integer number (94468644).

Almost surely, 23378860430 is an apocalyptic number.

3378860430 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 3378860430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534494912).

3378860430 is an abundant number, since it is smaller than the sum of its proper divisors (5690129394).

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

3378860430 is a wasteful number, since it uses less digits than its factorization.

3378860430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3378860430 is about 58127.9659888422. The cubic root of 3378860430 is about 1500.5716976357.

The spelling of 3378860430 in words is "three billion, three hundred seventy-eight million, eight hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 1681 2255 2706 3362 4510 5043 6091 6765 8405 10086 12182 13530 16810 18273 18491 25215 30455 36546 36982 50430 55473 60910 67001 91365 92455 110946 134002 182730 184910 201003 249731 277365 335005 402006 499462 554730 670010 749193 1005015 1248655 1498386 2010030 2497310 2747041 3745965 5494082 7491930 8241123 10238971 13735205 16482246 20477942 27470410 30716913 41205615 51194855 61433826 82411230 102389710 112628681 153584565 225257362 307169130 337886043 563143405 675772086 1126286810 1689430215 3378860430