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368898864 = 243471011619
BaseRepresentation
bin10101111111001…
…111001100110000
3221201011000002220
4111333033030300
51223414230424
6100334441040
712066405615
oct2577171460
9851130086
10368898864
1117a2631a4
12a3663180
135b572369
1436dca50c
15225bd579
hex15fcf330

368898864 has 80 divisors (see below), whose sum is σ = 983508480. Its totient is φ = 119084800.

The previous prime is 368898847. The next prime is 368898877. The reversal of 368898864 is 468898863.

It is a junction number, because it is equal to n+sod(n) for n = 368898798 and 368898807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227047 + ... + 228665.

It is an arithmetic number, because the mean of its divisors is an integer number (12293856).

Almost surely, 2368898864 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 368898864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491754240).

368898864 is an abundant number, since it is smaller than the sum of its proper divisors (614609616).

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

368898864 is a wasteful number, since it uses less digits than its factorization.

368898864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The square root of 368898864 is about 19206.7400669661. The cubic root of 368898864 is about 717.1925550111.

Subtracting 368898864 from its reverse (468898863), we obtain a palindrome (99999999).

It can be divided in two parts, 36889 and 8864, that added together give a triangular number (45753 = T302).

The spelling of 368898864 in words is "three hundred sixty-eight million, eight hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 101 141 188 202 282 303 376 404 564 606 752 808 1128 1212 1616 1619 2256 2424 3238 4747 4848 4857 6476 9494 9714 12952 14241 18988 19428 25904 28482 37976 38856 56964 75952 76093 77712 113928 152186 163519 227856 228279 304372 327038 456558 490557 608744 654076 913116 981114 1217488 1308152 1826232 1962228 2616304 3652464 3924456 7685393 7848912 15370786 23056179 30741572 46112358 61483144 92224716 122966288 184449432 368898864