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30207408 = 2437112743
BaseRepresentation
bin111001100111…
…0110110110000
32002211200202220
41303032312300
530213114113
62555241040
7514521150
oct163166660
962750686
1030207408
1116062300
12a149180
13634850a
144024760
1529ba523
hex1ccedb0

30207408 has 120 divisors (see below), whose sum is σ = 98160384. Its totient is φ = 7835520.

The previous prime is 30207367. The next prime is 30207409. The reversal of 30207408 is 80470203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30207409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40285 + ... + 41027.

Almost surely, 230207408 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 30207408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49080192).

30207408 is an abundant number, since it is smaller than the sum of its proper divisors (67952976).

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

30207408 is a wasteful number, since it uses less digits than its factorization.

30207408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30207408 is about 5496.1266360956. The cubic root of 30207408 is about 311.4376787810.

The spelling of 30207408 in words is "thirty million, two hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 743 847 924 968 1232 1452 1486 1694 1848 1936 2229 2541 2904 2972 3388 3696 4458 5082 5201 5808 5944 6776 8173 8916 10164 10402 11888 13552 15603 16346 17832 20328 20804 24519 31206 32692 35664 40656 41608 49038 57211 62412 65384 83216 89903 98076 114422 124824 130768 171633 179806 196152 228844 249648 269709 343266 359612 392304 457688 539418 629321 686532 719224 915376 1078836 1258642 1373064 1438448 1887963 2157672 2517284 2746128 3775926 4315344 5034568 7551852 10069136 15103704 30207408