Search a number
-
+
30046336 = 274353103
BaseRepresentation
bin111001010011…
…1100010000000
32002112111211021
41302213202000
530142440321
62551555224
7513250435
oct162474200
962474737
1030046336
1115a62291
12a08bb14
1362c00c8
143dc1b8c
152987941
hex1ca7880

30046336 has 64 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 14257152.

The previous prime is 30046321. The next prime is 30046337. The reversal of 30046336 is 63364003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 30046336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30046337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291661 + ... + 291763.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 230046336 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 30046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

30046336 is an abundant number, since it is smaller than the sum of its proper divisors (32965184).

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

30046336 is a wasteful number, since it uses less digits than its factorization.

30046336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 30046336 is about 5481.4538217520. The cubic root of 30046336 is about 310.8831424435.

The spelling of 30046336 in words is "thirty million, forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 53 64 86 103 106 128 172 206 212 344 412 424 688 824 848 1376 1648 1696 2279 2752 3296 3392 4429 4558 5459 5504 6592 6784 8858 9116 10918 13184 17716 18232 21836 35432 36464 43672 70864 72928 87344 141728 145856 174688 234737 283456 291712 349376 469474 566912 698752 938948 1877896 3755792 7511584 15023168 30046336