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350031420 = 223256171449
BaseRepresentation
bin10100110111010…
…000111000111100
3220101122102211200
4110313100320330
51204102001140
654422215500
711450134524
oct2467207074
9811572750
10350031420
1116a646872
1299284590
13576975ab
14346b8684
1520ae3030
hex14dd0e3c

350031420 has 144 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 90316800.

The previous prime is 350031413. The next prime is 350031427. The reversal of 350031420 is 24130053.

350031420 is a `hidden beast` number, since 350 + 0 + 314 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (350031413) and next prime (350031427).

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

It is a junction number, because it is equal to n+sod(n) for n = 350031393 and 350031402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350031427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779356 + ... + 779804.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2350031420 is an apocalyptic number.

350031420 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 350031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

350031420 is an abundant number, since it is smaller than the sum of its proper divisors (746773380).

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

350031420 is a wasteful number, since it uses less digits than its factorization.

350031420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 350031420 is about 18709.1266498466. The cubic root of 350031420 is about 704.7509607780.

Adding to 350031420 its reverse (24130053), we get a palindrome (374161473).

The spelling of 350031420 in words is "three hundred fifty million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 71 90 122 142 180 183 213 244 284 305 355 366 426 449 549 610 639 710 732 852 898 915 1065 1098 1220 1278 1347 1420 1796 1830 2130 2196 2245 2556 2694 2745 3195 3660 4041 4260 4331 4490 5388 5490 6390 6735 8082 8662 8980 10980 12780 12993 13470 16164 17324 20205 21655 25986 26940 27389 31879 38979 40410 43310 51972 54778 63758 64965 77958 80820 82167 86620 95637 109556 127516 129930 136945 155916 159395 164334 191274 194895 246501 259860 273890 286911 318790 328668 382548 389790 410835 478185 493002 547780 573822 637580 779580 821670 956370 986004 1147644 1232505 1434555 1643340 1912740 1944619 2465010 2869110 3889238 4930020 5738220 5833857 7778476 9723095 11667714 17501571 19446190 23335428 29169285 35003142 38892380 58338570 70006284 87507855 116677140 175015710 350031420