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23379384 = 2337317439
BaseRepresentation
bin101100100101…
…1110110111000
31121222210111010
41121023312320
521441120014
62153033520
7402502320
oct131136670
947883433
1023379384
1112219306
1279b58a0
134ac7672
143168280
1520bc359
hex164bdb8

23379384 has 64 divisors (see below), whose sum is σ = 67161600. Its totient is φ = 6643584.

The previous prime is 23379371. The next prime is 23379397. The reversal of 23379384 is 48397332.

It is an interprime number because it is at equal distance from previous prime (23379371) and next prime (23379397).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53037 + ... + 53475.

It is an arithmetic number, because the mean of its divisors is an integer number (1049400).

Almost surely, 223379384 is an apocalyptic number.

23379384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23379384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33580800).

23379384 is an abundant number, since it is smaller than the sum of its proper divisors (43782216).

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

23379384 is a wasteful number, since it uses less digits than its factorization.

23379384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 23379384 is about 4835.2232626839. The cubic root of 23379384 is about 285.9418272151.

The spelling of 23379384 in words is "twenty-three million, three hundred seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 317 439 634 878 951 1268 1317 1756 1902 2219 2536 2634 3073 3512 3804 4438 5268 6146 6657 7608 8876 9219 10536 12292 13314 17752 18438 24584 26628 36876 53256 73752 139163 278326 417489 556652 834978 974141 1113304 1669956 1948282 2922423 3339912 3896564 5844846 7793128 11689692 23379384