Search a number
-
+
30607744 = 27436783
BaseRepresentation
bin111010011000…
…0100110000000
32010121000221011
41310300212000
530313421434
63012010304
7521106256
oct164604600
963530834
1030607744
1116306062
12a300994
1364587bb
1440ca5d6
152a48e64
hex1d30980

30607744 has 64 divisors (see below), whose sum is σ = 64088640. Its totient is φ = 14547456.

The previous prime is 30607741. The next prime is 30607777. The reversal of 30607744 is 44770603.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30607741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368727 + ... + 368809.

It is an arithmetic number, because the mean of its divisors is an integer number (1001385).

Almost surely, 230607744 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 30607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32044320).

30607744 is an abundant number, since it is smaller than the sum of its proper divisors (33480896).

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

30607744 is an equidigital number, since it uses as much as digits as its factorization.

30607744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 30607744 is about 5532.4265923734. The cubic root of 30607744 is about 312.8074635791.

The spelling of 30607744 in words is "thirty million, six hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 67 83 86 128 134 166 172 268 332 344 536 664 688 1072 1328 1376 2144 2656 2752 2881 3569 4288 5312 5504 5561 5762 7138 8576 10624 11122 11524 14276 22244 23048 28552 44488 46096 57104 88976 92192 114208 177952 184384 228416 239123 355904 368768 456832 478246 711808 956492 1912984 3825968 7651936 15303872 30607744