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30410208 = 253361577
BaseRepresentation
bin111010000000…
…0010111100000
32010012222222000
41310000113200
530241111313
63003444000
7516324333
oct164002740
963188860
1030410208
1116190704
12a226600
1363b990a
14407861a
152a0a673
hex1d005e0

30410208 has 96 divisors (see below), whose sum is σ = 90306720. Its totient is φ = 9953280.

The previous prime is 30410201. The next prime is 30410227. The reversal of 30410208 is 80201403.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (30410201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52416 + ... + 52992.

It is an arithmetic number, because the mean of its divisors is an integer number (940695).

Almost surely, 230410208 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 30410208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45153360).

30410208 is an abundant number, since it is smaller than the sum of its proper divisors (59896512).

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

30410208 is a wasteful number, since it uses less digits than its factorization.

30410208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30410208 is about 5514.5451308335. The cubic root of 30410208 is about 312.1330793234.

The spelling of 30410208 in words is "thirty million, four hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 577 732 864 976 1098 1154 1464 1647 1731 1952 2196 2308 2928 3294 3462 4392 4616 5193 5856 6588 6924 8784 9232 10386 13176 13848 15579 17568 18464 20772 26352 27696 31158 35197 41544 52704 55392 62316 70394 83088 105591 124632 140788 166176 211182 249264 281576 316773 422364 498528 563152 633546 844728 950319 1126304 1267092 1689456 1900638 2534184 3378912 3801276 5068368 7602552 10136736 15205104 30410208