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30245376 = 29372997
BaseRepresentation
bin111001101100…
…0001000000000
32002220121212010
41303120020000
530220323001
63000132520
7515036640
oct163301000
962817763
1030245376
1116088887
12a167140
13635c895
144034520
1529c68d6
hex1cd8200

30245376 has 160 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 8257536.

The previous prime is 30245357. The next prime is 30245389. The reversal of 30245376 is 67354203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311760 + ... + 311856.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 230245376 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 30245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

30245376 is an abundant number, since it is smaller than the sum of its proper divisors (65998464).

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

30245376 is an equidigital number, since it uses as much as digits as its factorization.

30245376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 30245376 is about 5499.5796202983. The cubic root of 30245376 is about 311.5681072184.

Adding to 30245376 its reverse (67354203), we get a palindrome (97599579).

It can be divided in two parts, 3024 and 5376, that multiplied together give a square (16257024 = 40322).

The spelling of 30245376 in words is "thirty million, two hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 97 112 116 128 168 174 192 194 203 224 232 256 291 336 348 384 388 406 448 464 512 582 609 672 679 696 768 776 812 896 928 1164 1218 1344 1358 1392 1536 1552 1624 1792 1856 2037 2328 2436 2688 2716 2784 2813 3104 3248 3584 3712 4074 4656 4872 5376 5432 5568 5626 6208 6496 7424 8148 8439 9312 9744 10752 10864 11136 11252 12416 12992 14848 16296 16878 18624 19488 19691 21728 22272 22504 24832 25984 32592 33756 37248 38976 39382 43456 44544 45008 49664 51968 59073 65184 67512 74496 77952 78764 86912 90016 103936 118146 130368 135024 148992 155904 157528 173824 180032 236292 260736 270048 311808 315056 347648 360064 472584 521472 540096 630112 720128 945168 1042944 1080192 1260224 1440256 1890336 2160384 2520448 3780672 4320768 5040896 7561344 10081792 15122688 30245376