Search a number
-
+
23296416 = 25311131697
BaseRepresentation
bin101100011011…
…1100110100000
31121211120200020
41120313212200
521430441131
62151153440
7402005403
oct130674640
947746606
1023296416
1112171a40
127975880
134a98980
143145d3a
1520a2996
hex16379a0

23296416 has 96 divisors (see below), whose sum is σ = 71886528. Its totient is φ = 6512640.

The previous prime is 23296391. The next prime is 23296433. The reversal of 23296416 is 61469232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 12880 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (748818).

Almost surely, 223296416 is an apocalyptic number.

23296416 is a gapful number since it is divisible by the number (26) 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 23296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35943264).

23296416 is an abundant number, since it is smaller than the sum of its proper divisors (48590112).

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

23296416 is a wasteful number, since it uses less digits than its factorization.

23296416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 23296416 is about 4826.6360956675. The cubic root of 23296416 is about 285.6031792755.

The spelling of 23296416 in words is "twenty-three million, two hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1697 1716 2288 3394 3432 4576 5091 6788 6864 10182 13576 13728 18667 20364 22061 27152 37334 40728 44122 54304 56001 66183 74668 81456 88244 112002 132366 149336 162912 176488 224004 242671 264732 298672 352976 448008 485342 529464 597344 705952 728013 896016 970684 1058928 1456026 1792032 1941368 2117856 2912052 3882736 5824104 7765472 11648208 23296416