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38360664 = 23321393833
BaseRepresentation
bin1001001001010…
…1011001011000
32200011220221100
42102111121120
534310020124
63450111400
7644026446
oct222253130
980156840
1038360664
111a720a31
1210a1b560
137c41624
145147b96
15357b1c9
hex2495658

38360664 has 48 divisors (see below), whose sum is σ = 104668200. Its totient is φ = 12691584.

The previous prime is 38360659. The next prime is 38360669. The reversal of 38360664 is 46606383.

It is an interprime number because it is at equal distance from previous prime (38360659) and next prime (38360669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38360669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8092 + ... + 11924.

Almost surely, 238360664 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 38360664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52334100).

38360664 is an abundant number, since it is smaller than the sum of its proper divisors (66307536).

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

38360664 is a wasteful number, since it uses less digits than its factorization.

38360664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 38360664 is about 6193.5986308446. The cubic root of 38360664 is about 337.2578279178.

The spelling of 38360664 in words is "thirty-eight million, three hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 3833 5004 7666 10008 11499 15332 22998 30664 34497 45996 68994 91992 137988 275976 532787 1065574 1598361 2131148 3196722 4262296 4795083 6393444 9590166 12786888 19180332 38360664