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3413224300 = 225217101103193
BaseRepresentation
bin1100101101110001…
…1010101101101100
322210212120202111211
43023130122231230
523442241134200
61322405124204
7150403633153
oct31334325554
98725522454
103413224300
1114a1748a32
127b30b9664
134251a6165
1424545059a
1514e9baaba
hexcb71ab6c

3413224300 has 144 divisors (see below), whose sum is σ = 8038360512. Its totient is φ = 1253376000.

The previous prime is 3413224289. The next prime is 3413224301. The reversal of 3413224300 is 34223143.

It is a happy number.

It is a super-2 number, since 2×34132243002 = 23300200244220980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3413224301) 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, 17685004 + ... + 17685196.

It is an arithmetic number, because the mean of its divisors is an integer number (55821948).

Almost surely, 23413224300 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 3413224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019180256).

3413224300 is an abundant number, since it is smaller than the sum of its proper divisors (4625136212).

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

3413224300 is a wasteful number, since it uses less digits than its factorization.

3413224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3413224300 is about 58422.8063345129. The cubic root of 3413224300 is about 1505.6416141178.

Adding to 3413224300 its reverse (34223143), we get a palindrome (3447447443).

The spelling of 3413224300 in words is "three billion, four hundred thirteen million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 103 170 193 202 206 340 386 404 412 425 505 515 772 850 965 1010 1030 1700 1717 1751 1930 2020 2060 2525 2575 3281 3434 3502 3860 4825 5050 5150 6562 6868 7004 8585 8755 9650 10100 10300 10403 13124 16405 17170 17510 19300 19493 19879 20806 32810 34340 35020 38986 39758 41612 42925 43775 52015 65620 77972 79516 82025 85850 87550 97465 99395 104030 164050 171700 175100 176851 194930 198790 208060 260075 328100 331381 337943 353702 389860 397580 487325 496975 520150 662762 675886 707404 884255 974650 993950 1040300 1325524 1351772 1656905 1689715 1768510 1949300 1987900 2007779 3313810 3379430 3537020 4015558 4421275 6627620 6758860 8031116 8284525 8448575 8842550 10038895 16569050 16897150 17685100 20077790 33138100 33794300 34132243 40155580 50194475 68264486 100388950 136528972 170661215 200777900 341322430 682644860 853306075 1706612150 3413224300