Search a number
-
+
30410240 = 29571697
BaseRepresentation
bin111010000000…
…0011000000000
32010020000000012
41310000120000
530241111430
63003444052
7516324410
oct164003000
963200005
1030410240
1116190733
12a226628
1363b9933
144078640
152a0a695
hex1d00600

30410240 has 80 divisors (see below), whose sum is σ = 83378592. Its totient is φ = 10420224.

The previous prime is 30410231. The next prime is 30410291. The reversal of 30410240 is 4201403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17072 + ... + 18768.

Almost surely, 230410240 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 30410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41689296).

30410240 is an abundant number, since it is smaller than the sum of its proper divisors (52968352).

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

30410240 is an equidigital number, since it uses as much as digits as its factorization.

30410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 30410240 is about 5514.5480322507. The cubic root of 30410240 is about 312.1331888070.

Adding to 30410240 its reverse (4201403), we get a palindrome (34611643).

The spelling of 30410240 in words is "thirty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1697 1792 2240 2560 3394 3584 4480 6788 8485 8960 11879 13576 16970 17920 23758 27152 33940 47516 54304 59395 67880 95032 108608 118790 135760 190064 217216 237580 271520 380128 434432 475160 543040 760256 868864 950320 1086080 1520512 1900640 2172160 3041024 3801280 4344320 6082048 7602560 15205120 30410240