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30353840 = 24511172029
BaseRepresentation
bin111001111001…
…0100110110000
32010010010122022
41303302212300
530232310330
63002331012
7516001106
oct163624660
963103568
1030353840
1116152320
12a1b9a68
13639a06a
144061c76
1529e8ae5
hex1cf29b0

30353840 has 80 divisors (see below), whose sum is σ = 81557280. Its totient is φ = 10383360.

The previous prime is 30353839. The next prime is 30353861. The reversal of 30353840 is 4835303.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13946 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (1019466).

Almost surely, 230353840 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 30353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40778640).

30353840 is an abundant number, since it is smaller than the sum of its proper divisors (51203440).

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

30353840 is a wasteful number, since it uses less digits than its factorization.

30353840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 30353840 is about 5509.4319126385. The cubic root of 30353840 is about 311.9401046541.

The spelling of 30353840 in words is "thirty million, three hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2029 2992 3740 4058 7480 8116 10145 14960 16232 20290 22319 32464 34493 40580 44638 68986 81160 89276 111595 137972 162320 172465 178552 223190 275944 344930 357104 379423 446380 551888 689860 758846 892760 1379720 1517692 1785520 1897115 2759440 3035384 3794230 6070768 7588460 15176920 30353840