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30274056 = 2332612113
BaseRepresentation
bin111001101111…
…1001000001000
32002222002012100
41303133020020
530222232211
63000513400
7515216361
oct163371010
962862170
1030274056
11160a838a
12a17b860
13636c957
144040b68
1529d0156
hex1cdf208

30274056 has 72 divisors (see below), whose sum is σ = 84096090. Its totient is φ = 9838080.

The previous prime is 30274039. The next prime is 30274081. The reversal of 30274056 is 65047203.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1822500 + 28451556 = 1350^2 + 5334^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×302740562 = 1833036933382272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267856 + ... + 267968.

Almost surely, 230274056 is an apocalyptic number.

30274056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30274056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42048045).

30274056 is an abundant number, since it is smaller than the sum of its proper divisors (53822034).

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

30274056 is a wasteful number, since it uses less digits than its factorization.

30274056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30274056 is about 5502.1864744845. The cubic root of 30274056 is about 311.6665569822. Note that the first 3 decimals are identical.

The spelling of 30274056 in words is "thirty million, two hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 113 122 183 226 244 339 366 452 488 549 678 732 904 1017 1098 1356 1464 2034 2196 2712 3721 4068 4392 6893 7442 8136 11163 13786 14884 20679 22326 27572 29768 33489 41358 44652 55144 62037 66978 82716 89304 124074 133956 165432 248148 267912 420473 496296 840946 1261419 1681892 2522838 3363784 3784257 5045676 7568514 10091352 15137028 30274056