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364450428 = 223101543
BaseRepresentation
bin10101101110010…
…001001001111100
3221101210000000000
4111232101021330
51221244403203
6100055234300
712013530456
oct2556211174
9841700000
10364450428
111777a5001
12a2078990
135a675654
143658d2d6
1521ee04a3
hex15b9127c

364450428 has 66 divisors (see below), whose sum is σ = 957296984. Its totient is φ = 121404744.

The previous prime is 364450423. The next prime is 364450439. The reversal of 364450428 is 824054463.

364450428 is a `hidden beast` number, since 3 + 644 + 5 + 0 + 4 + 2 + 8 = 666.

It is a super-2 number, since 2×3644504282 = 265648228938766368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 364450392 and 364450401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364450421) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 235425 + ... + 236967.

Almost surely, 2364450428 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 364450428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478648492).

364450428 is an abundant number, since it is smaller than the sum of its proper divisors (592846556).

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

364450428 is an equidigital number, since it uses as much as digits as its factorization.

364450428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 364450428 is about 19090.5847998431. The cubic root of 364450428 is about 714.2980889361.

The spelling of 364450428 in words is "three hundred sixty-four million, four hundred fifty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1543 2187 2916 3086 4374 4629 6172 6561 8748 9258 13122 13887 18516 19683 26244 27774 39366 41661 55548 59049 78732 83322 118098 124983 166644 236196 249966 374949 499932 749898 1124847 1499796 2249694 3374541 4499388 6749082 10123623 13498164 20247246 30370869 40494492 60741738 91112607 121483476 182225214 364450428