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23348080 = 2457173241
BaseRepresentation
bin101100100010…
…0001101110000
31121221012112201
41121010031300
521434114310
62152232544
7402312130
oct131041560
947835481
1023348080
11121a7838
12799b754
134ab6342
14315aac0
1520b2e3a
hex1644370

23348080 has 80 divisors (see below), whose sum is σ = 62656704. Its totient is φ = 7925760.

The previous prime is 23348071. The next prime is 23348081. The reversal of 23348080 is 8084332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23348081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96760 + ... + 97000.

Almost surely, 223348080 is an apocalyptic number.

23348080 is a gapful number since it is divisible by the number (20) 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 23348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328352).

23348080 is an abundant number, since it is smaller than the sum of its proper divisors (39308624).

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

23348080 is a wasteful number, since it uses less digits than its factorization.

23348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23348080 is about 4831.9850993148. The cubic root of 23348080 is about 285.8141489012.

The spelling of 23348080 in words is "twenty-three million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 173 241 280 346 482 560 692 865 964 1205 1211 1384 1687 1730 1928 2410 2422 2768 3374 3460 3856 4820 4844 6055 6748 6920 8435 9640 9688 12110 13496 13840 16870 19280 19376 24220 26992 33740 41693 48440 67480 83386 96880 134960 166772 208465 291851 333544 416930 583702 667088 833860 1167404 1459255 1667720 2334808 2918510 3335440 4669616 5837020 11674040 23348080