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30137352 = 23374523
BaseRepresentation
bin111001011110…
…1110000001000
32002201010200020
41302331300020
530203343402
62553540440
7514110000
oct162756010
962633606
1030137352
1116014703
12a114720
13632266b
144007000
1529a48bc
hex1cbdc08

30137352 has 80 divisors (see below), whose sum is σ = 88063440. Its totient is φ = 8594208.

The previous prime is 30137347. The next prime is 30137353. The reversal of 30137352 is 25373103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30137353) 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, 57363 + ... + 57885.

It is an arithmetic number, because the mean of its divisors is an integer number (1100793).

Almost surely, 230137352 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 30137352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44031720).

30137352 is an abundant number, since it is smaller than the sum of its proper divisors (57926088).

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

30137352 is an equidigital number, since it uses as much as digits as its factorization.

30137352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 30137352 is about 5489.7497210711. The cubic root of 30137352 is about 311.1967338405.

The spelling of 30137352 in words is "thirty million, one hundred thirty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 523 588 686 1029 1046 1176 1372 1569 2058 2092 2401 2744 3138 3661 4116 4184 4802 6276 7203 7322 8232 9604 10983 12552 14406 14644 19208 21966 25627 28812 29288 43932 51254 57624 76881 87864 102508 153762 179389 205016 307524 358778 538167 615048 717556 1076334 1255723 1435112 2152668 2511446 3767169 4305336 5022892 7534338 10045784 15068676 30137352