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30939240 = 2335318317
BaseRepresentation
bin111011000000…
…1100001101000
32011012212122210
41312001201220
530410023430
63023045120
7523656603
oct166014150
964185583
1030939240
1116512122
12a4407a0
136543657
14417533a
152ab22b0
hex1d81868

30939240 has 64 divisors (see below), whose sum is σ = 95823360. Its totient is φ = 7983360.

The previous prime is 30939221. The next prime is 30939241. The reversal of 30939240 is 4293903.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30939198 and 30939207.

It is not an unprimeable number, because it can be changed into a prime (30939241) 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, 439 + ... + 7878.

It is an arithmetic number, because the mean of its divisors is an integer number (1497240).

Almost surely, 230939240 is an apocalyptic number.

30939240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30939240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47911680).

30939240 is an abundant number, since it is smaller than the sum of its proper divisors (64884120).

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

30939240 is a wasteful number, since it uses less digits than its factorization.

30939240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 30939240 is about 5562.3052774906. The cubic root of 30939240 is about 313.9326941356.

The spelling of 30939240 in words is "thirty million, nine hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 8317 16634 24951 33268 41585 49902 66536 83170 99804 124755 166340 199608 249510 257827 332680 499020 515654 773481 998040 1031308 1289135 1546962 2062616 2578270 3093924 3867405 5156540 6187848 7734810 10313080 15469620 30939240