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30540288 = 29359337
BaseRepresentation
bin111010010000…
…0001000000000
32010110121101210
41310200020000
530304242123
63010330120
7520405512
oct164401000
963417353
1030540288
111626a409
12a289940
136433b9c
1440adbb2
152a33e93
hex1d20200

30540288 has 80 divisors (see below), whose sum is σ = 82985760. Its totient is φ = 9977856.

The previous prime is 30540287. The next prime is 30540299. The reversal of 30540288 is 88204503.

It is a super-2 number, since 2×305402882 = 1865418382245888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30540287) 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, 90456 + ... + 90792.

It is an arithmetic number, because the mean of its divisors is an integer number (1037322).

Almost surely, 230540288 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 30540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492880).

30540288 is an abundant number, since it is smaller than the sum of its proper divisors (52445472).

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

30540288 is an equidigital number, since it uses as much as digits as its factorization.

30540288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 30540288 is about 5526.3268090116. The cubic root of 30540288 is about 312.5774971532.

The spelling of 30540288 in words is "thirty million, five hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 337 354 384 472 512 674 708 768 944 1011 1348 1416 1536 1888 2022 2696 2832 3776 4044 5392 5664 7552 8088 10784 11328 15104 16176 19883 21568 22656 30208 32352 39766 43136 45312 59649 64704 79532 86272 90624 119298 129408 159064 172544 238596 258816 318128 477192 517632 636256 954384 1272512 1908768 2545024 3817536 5090048 7635072 10180096 15270144 30540288