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30284928 = 273423127
BaseRepresentation
bin111001110000…
…1110010000000
32002222122010000
41303201302000
530223104203
63001040000
7515263152
oct163416200
962878100
1030284928
1116105573
12a186000
13637489b
144044ad2
1529d34a3
hex1ce1c80

30284928 has 160 divisors (see below), whose sum is σ = 94786560. Its totient is φ = 9580032.

The previous prime is 30284927. The next prime is 30284953. The reversal of 30284928 is 82948203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30284892 and 30284901.

It is not an unprimeable number, because it can be changed into a prime (30284921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238401 + ... + 238527.

It is an arithmetic number, because the mean of its divisors is an integer number (592416).

Almost surely, 230284928 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 30284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47393280).

30284928 is an abundant number, since it is smaller than the sum of its proper divisors (64501632).

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

30284928 is a wasteful number, since it uses less digits than its factorization.

30284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30284928 is about 5503.1743566782. The cubic root of 30284928 is about 311.7038610165.

The spelling of 30284928 in words is "thirty million, two hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 127 128 138 144 162 184 192 207 216 254 276 288 324 368 381 384 414 432 508 552 576 621 648 736 762 828 864 1016 1104 1143 1152 1242 1296 1472 1524 1656 1728 1863 2032 2208 2286 2484 2592 2921 2944 3048 3312 3429 3456 3726 4064 4416 4572 4968 5184 5842 6096 6624 6858 7452 8128 8763 8832 9144 9936 10287 10368 11684 12192 13248 13716 14904 16256 17526 18288 19872 20574 23368 24384 26289 26496 27432 29808 35052 36576 39744 41148 46736 48768 52578 54864 59616 70104 73152 78867 79488 82296 93472 105156 109728 119232 140208 146304 157734 164592 186944 210312 219456 236601 238464 280416 315468 329184 373888 420624 438912 473202 560832 630936 658368 841248 946404 1121664 1261872 1316736 1682496 1892808 2523744 3364992 3785616 5047488 7571232 10094976 15142464 30284928