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30350208 = 273721613
BaseRepresentation
bin111001111000…
…1101110000000
32010002221122210
41303301232000
530232201313
63002302120
7515654400
oct163615600
963087583
1030350208
111614a619
12a1b7940
136398505
144060800
1529e79c3
hex1cf1b80

30350208 has 96 divisors (see below), whose sum is σ = 93837960. Its totient is φ = 8666112.

The previous prime is 30350207. The next prime is 30350227. The reversal of 30350208 is 80205303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×303502082 = 1842270251286528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30350207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18010 + ... + 19622.

Almost surely, 230350208 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 30350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918980).

30350208 is an abundant number, since it is smaller than the sum of its proper divisors (63487752).

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

30350208 is a wasteful number, since it uses less digits than its factorization.

30350208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30350208 is about 5509.1022862169. The cubic root of 30350208 is about 311.9276623882.

The spelling of 30350208 in words is "thirty million, three hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 1613 2352 2688 3136 3226 4704 4839 6272 6452 9408 9678 11291 12904 18816 19356 22582 25808 33873 38712 45164 51616 67746 77424 79037 90328 103232 135492 154848 158074 180656 206464 237111 270984 309696 316148 361312 474222 541968 619392 632296 722624 948444 1083936 1264592 1445248 1896888 2167872 2529184 3793776 4335744 5058368 7587552 10116736 15175104 30350208