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30933408 = 2531122663
BaseRepresentation
bin111011000000…
…0000110100000
32011012120122210
41312000012200
530404332113
63023002120
7523633602
oct166000640
964176583
1030933408
1116508800
12a439340
136540abc
144173172
152ab06c3
hex1d801a0

30933408 has 72 divisors (see below), whose sum is σ = 89286624. Its totient is φ = 9370240.

The previous prime is 30933391. The next prime is 30933433. The reversal of 30933408 is 80433903.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10285 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (1240092).

Almost surely, 230933408 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 30933408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44643312).

30933408 is an abundant number, since it is smaller than the sum of its proper divisors (58353216).

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

30933408 is a wasteful number, since it uses less digits than its factorization.

30933408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30933408 is about 5561.7810097126. The cubic root of 30933408 is about 313.9129676165.

The spelling of 30933408 in words is "thirty million, nine hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2663 2904 3872 5326 5808 7989 10652 11616 15978 21304 29293 31956 42608 58586 63912 85216 87879 117172 127824 175758 234344 255648 322223 351516 468688 644446 703032 937376 966669 1288892 1406064 1933338 2577784 2812128 3866676 5155568 7733352 10311136 15466704 30933408