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30607296 = 2632329239
BaseRepresentation
bin111010011000…
…0011111000000
32010121000022120
41310300133000
530313413141
63012004240
7521105046
oct164603700
963530276
1030607296
1116305795
12a300680
136458535
1440ca396
152a48c66
hex1d307c0

30607296 has 112 divisors (see below), whose sum is σ = 87782400. Its totient is φ = 9382912.

The previous prime is 30607289. The next prime is 30607303. The reversal of 30607296 is 69270603.

It is an interprime number because it is at equal distance from previous prime (30607289) and next prime (30607303).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 127945 + ... + 128183.

Almost surely, 230607296 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 30607296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891200).

30607296 is an abundant number, since it is smaller than the sum of its proper divisors (57175104).

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

30607296 is a wasteful number, since it uses less digits than its factorization.

30607296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 30607296 is about 5532.3861036627. The cubic root of 30607296 is about 312.8059374030.

Adding to 30607296 its reverse (69270603), we get a palindrome (99877899).

It can be divided in two parts, 30607 and 296, that added together give a palindrome (30903).

The spelling of 30607296 in words is "thirty million, six hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 239 276 348 368 464 478 552 667 696 717 736 928 956 1104 1334 1392 1434 1472 1856 1912 2001 2208 2668 2784 2868 3824 4002 4416 5336 5497 5568 5736 6931 7648 8004 10672 10994 11472 13862 15296 16008 16491 20793 21344 21988 22944 27724 32016 32982 41586 42688 43976 45888 55448 64032 65964 83172 87952 110896 128064 131928 159413 166344 175904 221792 263856 318826 332688 351808 443584 478239 527712 637652 665376 956478 1055424 1275304 1330752 1912956 2550608 3825912 5101216 7651824 10202432 15303648 30607296