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30400848 = 24322367137
BaseRepresentation
bin111001111111…
…0000101010000
32010012112010100
41303332011100
530240311343
63003332400
7516255132
oct163760520
963175110
1030400848
1116184675
12a221100
1363b558a
144075052
152a079d3
hex1cfe150

30400848 has 120 divisors (see below), whose sum is σ = 90762048. Its totient is φ = 9478656.

The previous prime is 30400837. The next prime is 30400861. The reversal of 30400848 is 84800403.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221836 + ... + 221972.

Almost surely, 230400848 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 30400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45381024).

30400848 is an abundant number, since it is smaller than the sum of its proper divisors (60361200).

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

30400848 is a wasteful number, since it uses less digits than its factorization.

30400848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30400848 is about 5513.6964007823. The cubic root of 30400848 is about 312.1010520798.

The spelling of 30400848 in words is "thirty million, four hundred thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 67 69 72 92 134 137 138 144 184 201 207 268 274 276 368 402 411 414 536 548 552 603 804 822 828 1072 1096 1104 1206 1233 1541 1608 1644 1656 2192 2412 2466 3082 3151 3216 3288 3312 4623 4824 4932 6164 6302 6576 9179 9246 9453 9648 9864 12328 12604 13869 18358 18492 18906 19728 24656 25208 27537 27738 28359 36716 36984 37812 50416 55074 55476 56718 73432 73968 75624 82611 110148 110952 113436 146864 151248 165222 211117 220296 221904 226872 330444 422234 440592 453744 633351 660888 844468 1266702 1321776 1688936 1900053 2533404 3377872 3800106 5066808 7600212 10133616 15200424 30400848