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3679150336 = 281722232
BaseRepresentation
bin1101101101001011…
…0110000100000000
3100111101222012110021
43123102312010000
530013330302321
61405024543224
7160113155551
oct33322660400
910441865407
103679150336
11161886a114
12868181b14
13468303844
1426c8b4328
15167ee8941
hexdb4b6100

3679150336 has 81 divisors (see below), whose sum is σ = 7836476781. Its totient is φ = 1723600896.

The previous prime is 3679150333. The next prime is 3679150351. The reversal of 3679150336 is 6330519763.

The square root of 3679150336 is 60656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2864390400 + 814759936 = 53520^2 + 28544^2 .

It is a super-2 number, since 2×36791503362 = 27072294389777825792, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3679150292 and 3679150301.

It is not an unprimeable number, because it can be changed into a prime (3679150333) 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 8 ways as a sum of consecutive naturals, for example, 16498321 + ... + 16498543.

Almost surely, 23679150336 is an apocalyptic number.

3679150336 is the 60656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3679150336

3679150336 is an abundant number, since it is smaller than the sum of its proper divisors (4157326445).

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

3679150336 is an frugal number, since it uses more digits than its factorization.

3679150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 43.

The cubic root of 3679150336 is about 1543.7696954854.

The spelling of 3679150336 in words is "three billion, six hundred seventy-nine million, one hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 289 446 544 578 892 1088 1156 1784 2176 2312 3568 3791 4352 4624 7136 7582 9248 14272 15164 18496 28544 30328 36992 49729 57088 60656 64447 73984 99458 121312 128894 198916 242624 257788 397832 485248 515576 795664 845393 970496 1031152 1591328 1690786 2062304 3182656 3381572 4124608 6365312 6763144 8249216 12730624 13526288 14371681 16498432 27052576 28743362 54105152 57486724 108210304 114973448 216420608 229946896 459893792 919787584 1839575168 3679150336