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30685440 = 283561131
BaseRepresentation
bin111010100001…
…1100100000000
32010201222111210
41311003210000
530323413230
63013410120
7521551632
oct165034400
963658453
1030685440
1116359475
12a339940
136484c86
14410aa52
152a61eb0
hex1d43900

30685440 has 144 divisors (see below), whose sum is σ = 100368576. Its totient is φ = 7987200.

The previous prime is 30685429. The next prime is 30685441. The reversal of 30685440 is 4458603.

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 = 30685398 and 30685407.

It is not an unprimeable number, because it can be changed into a prime (30685441) 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, 234175 + ... + 234305.

It is an arithmetic number, because the mean of its divisors is an integer number (697004).

Almost surely, 230685440 is an apocalyptic number.

30685440 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 30685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50184288).

30685440 is an abundant number, since it is smaller than the sum of its proper divisors (69683136).

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

30685440 is a wasteful number, since it uses less digits than its factorization.

30685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 30685440 is about 5539.4440154225. Note that the first 3 decimals coincide. The cubic root of 30685440 is about 313.0719211945.

It can be divided in two parts, 30685 and 440, that added together give a triangular number (31125 = T249).

The spelling of 30685440 in words is "thirty million, six hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 131 160 183 192 240 244 256 262 305 320 366 384 393 480 488 524 610 640 655 732 768 786 915 960 976 1048 1220 1280 1310 1464 1572 1830 1920 1952 1965 2096 2440 2620 2928 3144 3660 3840 3904 3930 4192 4880 5240 5856 6288 7320 7808 7860 7991 8384 9760 10480 11712 12576 14640 15616 15720 15982 16768 19520 20960 23424 23973 25152 29280 31440 31964 33536 39040 39955 41920 46848 47946 50304 58560 62880 63928 78080 79910 83840 95892 100608 117120 119865 125760 127856 159820 167680 191784 234240 239730 251520 255712 319640 383568 479460 503040 511424 639280 767136 958920 1022848 1278560 1534272 1917840 2045696 2557120 3068544 3835680 5114240 6137088 7671360 10228480 15342720 30685440