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30345408 = 2633171033
BaseRepresentation
bin111001111000…
…0100011000000
32010002201002000
41303300203000
530232023113
63002224000
7515634402
oct163604300
963081060
1030345408
1116146a55
12a1b5000
136396282
14405cb72
1529e6373
hex1cf08c0

30345408 has 112 divisors (see below), whose sum is σ = 94548960. Its totient is φ = 9510912.

The previous prime is 30345407. The next prime is 30345433. The reversal of 30345408 is 80454303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30345407) 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, 28860 + ... + 29892.

Almost surely, 230345408 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 30345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47274480).

30345408 is an abundant number, since it is smaller than the sum of its proper divisors (64203552).

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

30345408 is a wasteful number, since it uses less digits than its factorization.

30345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30345408 is about 5508.6666263262. Note that the first 4 decimals coincide. The cubic root of 30345408 is about 311.9112173420.

The spelling of 30345408 in words is "thirty million, three hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1033 1088 1224 1632 1728 1836 2066 2448 3099 3264 3672 4132 4896 6198 7344 8264 9297 9792 12396 14688 16528 17561 18594 24792 27891 29376 33056 35122 37188 49584 52683 55782 66112 70244 74376 99168 105366 111564 140488 148752 158049 198336 210732 223128 280976 297504 316098 421464 446256 474147 561952 595008 632196 842928 892512 948294 1123904 1264392 1685856 1785024 1896588 2528784 3371712 3793176 5057568 7586352 10115136 15172704 30345408