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30104032 = 257273263
BaseRepresentation
bin111001011010…
…1100111100000
32002122102222011
41302311213200
530201312112
62553122304
7513610600
oct162654740
962572864
1030104032
1115aa1672
12a0b9394
13631044a
143dd8c00
152999aa7
hex1cb59e0

30104032 has 72 divisors (see below), whose sum is σ = 70153776. Its totient is φ = 12676608.

The previous prime is 30104023. The next prime is 30104077. The reversal of 30104032 is 23040103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114333 + ... + 114595.

It is an arithmetic number, because the mean of its divisors is an integer number (974358).

Almost surely, 230104032 is an apocalyptic number.

30104032 is a gapful number since it is divisible by the number (32) 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 30104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35076888).

30104032 is an abundant number, since it is smaller than the sum of its proper divisors (40049744).

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

30104032 is a wasteful number, since it uses less digits than its factorization.

30104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30104032 is about 5486.7141350721. The cubic root of 30104032 is about 311.0820046844.

Adding to 30104032 its reverse (23040103), we get a palindrome (53144135).

The spelling of 30104032 in words is "thirty million, one hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 263 292 392 511 526 584 784 1022 1052 1168 1568 1841 2044 2104 2336 3577 3682 4088 4208 7154 7364 8176 8416 12887 14308 14728 16352 19199 25774 28616 29456 38398 51548 57232 58912 76796 103096 114464 134393 153592 206192 268786 307184 412384 537572 614368 940751 1075144 1881502 2150288 3763004 4300576 7526008 15052016 30104032