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30610404 = 223211174547
BaseRepresentation
bin111010011000…
…1001111100100
32010121011120200
41310301033210
530314013104
63012030500
7521120106
oct164611744
963534520
1030610404
1116308060
12a302430
136459a86
1440cb576
152a49b39
hex1d313e4

30610404 has 72 divisors (see below), whose sum is σ = 89395488. Its totient is φ = 8728320.

The previous prime is 30610397. The next prime is 30610409. The reversal of 30610404 is 40401603.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30610409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4459 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1241604).

Almost surely, 230610404 is an apocalyptic number.

30610404 is a gapful number since it is divisible by the number (34) 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 30610404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44697744).

30610404 is an abundant number, since it is smaller than the sum of its proper divisors (58785084).

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

30610404 is a wasteful number, since it uses less digits than its factorization.

30610404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4580 counting only the distinct ones).

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

The square root of 30610404 is about 5532.6669879905. Note that the first 3 decimals coincide. The cubic root of 30610404 is about 312.8165249434.

The spelling of 30610404 in words is "thirty million, six hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 4547 6732 9094 13641 18188 27282 40923 50017 54564 77299 81846 100034 150051 154598 163692 200068 231897 300102 309196 450153 463794 600204 695691 850289 900306 927588 1391382 1700578 1800612 2550867 2782764 3401156 5101734 7652601 10203468 15305202 30610404