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10378044 = 22363559
BaseRepresentation
bin100111100101…
…101100111100
3201112021000000
4213211230330
510124044134
61010234300
7154132455
oct47455474
921467000
1010378044
1159491a6
123585990
1321c4971
14154212c
15d9ee99
hex9e5b3c

10378044 has 42 divisors (see below), whose sum is σ = 27237560. Its totient is φ = 3458376.

The previous prime is 10378031. The next prime is 10378061. The reversal of 10378044 is 44087301.

10378044 is nontrivially palindromic in base 8.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10377999 and 10378017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1137 + ... + 4695.

Almost surely, 210378044 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 10378044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618780).

10378044 is an abundant number, since it is smaller than the sum of its proper divisors (16859516).

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

10378044 is an equidigital number, since it uses as much as digits as its factorization.

10378044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10378044 is about 3221.4971674673. The cubic root of 10378044 is about 218.1248618374.

The spelling of 10378044 in words is "ten million, three hundred seventy-eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3559 7118 10677 14236 21354 32031 42708 64062 96093 128124 192186 288279 384372 576558 864837 1153116 1729674 2594511 3459348 5189022 10378044