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30738288 = 243731867
BaseRepresentation
bin111010101000…
…0011101110000
32010211200000010
41311100131300
530332111123
63014454520
7522162000
oct165203560
963750003
1030738288
1116395149
12a364440
1364a3049
144122000
152a72993
hex1d50770

30738288 has 80 divisors (see below), whose sum is σ = 92652800. Its totient is φ = 8777664.

The previous prime is 30738283. The next prime is 30738293. The reversal of 30738288 is 88283703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30738283) and next prime (30738293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30738283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15531 + ... + 17397.

It is an arithmetic number, because the mean of its divisors is an integer number (1158160).

Almost surely, 230738288 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 30738288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46326400).

30738288 is an abundant number, since it is smaller than the sum of its proper divisors (61914512).

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

30738288 is a wasteful number, since it uses less digits than its factorization.

30738288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 30738288 is about 5544.2121171542. The cubic root of 30738288 is about 313.2515474888.

The spelling of 30738288 in words is "thirty million, seven hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 1867 2058 2352 2744 3734 4116 5488 5601 7468 8232 11202 13069 14936 16464 22404 26138 29872 39207 44808 52276 78414 89616 91483 104552 156828 182966 209104 274449 313656 365932 548898 627312 640381 731864 1097796 1280762 1463728 1921143 2195592 2561524 3842286 4391184 5123048 7684572 10246096 15369144 30738288