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30003408 = 2432239059
BaseRepresentation
bin111001001110…
…1000011010000
32002110022221100
41302131003100
530140102113
62551024400
7513011331
oct162350320
962408840
1030003408
1115a33006
12a06b100
1362a66c6
143db0288
152979d73
hex1c9d0d0

30003408 has 60 divisors (see below), whose sum is σ = 87628320. Its totient is φ = 9565248.

The previous prime is 30003401. The next prime is 30003427. The reversal of 30003408 is 80430003.

It is a super-2 number, since 2×300034082 = 1800408983228928, which contains 22 as substring.

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 (30003401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1218 + ... + 7841.

It is an arithmetic number, because the mean of its divisors is an integer number (1460472).

Almost surely, 230003408 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 30003408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43814160).

30003408 is an abundant number, since it is smaller than the sum of its proper divisors (57624912).

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

30003408 is a wasteful number, since it uses less digits than its factorization.

30003408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 9087 counting only the distinct ones).

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

The square root of 30003408 is about 5477.5366726294. The cubic root of 30003408 is about 310.7350162036.

The spelling of 30003408 in words is "thirty million, three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 9059 18118 27177 36236 54354 72472 81531 108708 144944 163062 208357 217416 326124 416714 434832 625071 652248 833428 1250142 1304496 1666856 1875213 2500284 3333712 3750426 5000568 7500852 10001136 15001704 30003408