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30313440 = 253452339
BaseRepresentation
bin111001110100…
…0101111100000
32010001002020000
41303220233200
530230012230
63001420000
7515442243
oct163505740
963032200
1030313440
1116124a33
12a19a600
136384861
14405125a
1529dbb60
hex1ce8be0

30313440 has 120 divisors (see below), whose sum is σ = 107026920. Its totient is φ = 8080128.

The previous prime is 30313429. The next prime is 30313447. The reversal of 30313440 is 4431303.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30313447) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11791 + ... + 14129.

It is an arithmetic number, because the mean of its divisors is an integer number (891891).

Almost surely, 230313440 is an apocalyptic number.

30313440 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 30313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513460).

30313440 is an abundant number, since it is smaller than the sum of its proper divisors (76713480).

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

30313440 is a wasteful number, since it uses less digits than its factorization.

30313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30313440 is about 5505.7642521270. The cubic root of 30313440 is about 311.8016490750.

Adding to 30313440 its reverse (4431303), we get a palindrome (34744743).

The spelling of 30313440 in words is "thirty million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2339 2592 3240 4320 4678 6480 7017 9356 11695 12960 14034 18712 21051 23390 28068 35085 37424 42102 46780 56136 63153 70170 74848 84204 93560 105255 112272 126306 140340 168408 187120 189459 210510 224544 252612 280680 315765 336816 374240 378918 421020 505224 561360 631530 673632 757836 842040 947295 1010448 1122720 1263060 1515672 1684080 1894590 2020896 2526120 3031344 3368160 3789180 5052240 6062688 7578360 10104480 15156720 30313440