Search a number
-
+
380003712 = 2731189963
BaseRepresentation
bin10110101001100…
…110010110000000
3222111001012002120
4112221212112000
51234240104322
6101412444240
712262656354
oct2651462600
9874035076
10380003712
11185558460
12a7319680
136095ca8a
143867b464
1523563a5c
hex16a66580

380003712 has 64 divisors (see below), whose sum is σ = 1101159360. Its totient is φ = 115151360.

The previous prime is 380003711. The next prime is 380003749. The reversal of 380003712 is 217300083.

380003712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3800037122 = 288805642267557888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380003711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40758 + ... + 49205.

It is an arithmetic number, because the mean of its divisors is an integer number (17205615).

Almost surely, 2380003712 is an apocalyptic number.

380003712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380003712 is an abundant number, since it is smaller than the sum of its proper divisors (721155648).

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

380003712 is a wasteful number, since it uses less digits than its factorization.

380003712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89991 (or 89979 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 380003712 is about 19493.6839001765. The cubic root of 380003712 is about 724.3180028099.

Adding to 380003712 its reverse (217300083), we get a palindrome (597303795).

The spelling of 380003712 in words is "three hundred eighty million, three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 89963 179926 269889 359852 539778 719704 989593 1079556 1439408 1979186 2159112 2878816 2968779 3958372 4318224 5757632 5937558 7916744 8636448 11515264 11875116 15833488 17272896 23750232 31666976 34545792 47500464 63333952 95000928 126667904 190001856 380003712