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30040416 = 253374967
BaseRepresentation
bin111001010011…
…0000101100000
32002112012201000
41302212011200
530142243131
62551512000
7513224250
oct162460540
962465630
1030040416
1115a5889a
12a088600
1362ba4c3
143dbd960
152985ce6
hex1ca6160

30040416 has 96 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 8581248.

The previous prime is 30040403. The next prime is 30040427. The reversal of 30040416 is 61404003.

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 (18).

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, 3565 + ... + 8531.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 230040416 is an apocalyptic number.

30040416 is a gapful number since it is divisible by the number (36) 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 30040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

30040416 is an abundant number, since it is smaller than the sum of its proper divisors (70114464).

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

30040416 is a wasteful number, since it uses less digits than its factorization.

30040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30040416 is about 5480.9137924255. The cubic root of 30040416 is about 310.8627234359.

Adding to 30040416 its reverse (61404003), we get a palindrome (91444419).

The spelling of 30040416 in words is "thirty million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 4967 6048 9934 14901 19868 29802 34769 39736 44703 59604 69538 79472 89406 104307 119208 134109 139076 158944 178812 208614 238416 268218 278152 312921 357624 417228 476832 536436 556304 625842 715248 834456 938763 1072872 1112608 1251684 1430496 1668912 1877526 2145744 2503368 3337824 3755052 4291488 5006736 7510104 10013472 15020208 30040416