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350254944 = 253213175503
BaseRepresentation
bin10100111000000…
…111011101100000
3220102001210110100
4110320013131200
51204131124234
654431102400
711452055304
oct2470073540
9812053410
10350254944
1116a7897a6
1299371a00
1357745260
1434735d04
1520b39399
hex14e07760

350254944 has 144 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 101412864.

The previous prime is 350254943. The next prime is 350254967. The reversal of 350254944 is 449452053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350254899 and 350254908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350254943) 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 23 ways as a sum of consecutive naturals, for example, 60897 + ... + 66399.

It is an arithmetic number, because the mean of its divisors is an integer number (7888608).

Almost surely, 2350254944 is an apocalyptic number.

350254944 is a gapful number since it is divisible by the number (34) 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 350254944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).

350254944 is an abundant number, since it is smaller than the sum of its proper divisors (785704608).

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

350254944 is a wasteful number, since it uses less digits than its factorization.

350254944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 350254944 is about 18715.0993585394. The cubic root of 350254944 is about 704.9009427748.

The spelling of 350254944 in words is "three hundred fifty million, two hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 5503 7072 7956 10608 11006 15912 16509 21216 22012 31824 33018 44024 49527 63648 66036 71539 88048 93551 99054 132072 143078 176096 187102 198108 214617 264144 280653 286156 374204 396216 429234 528288 561306 572312 643851 748408 792432 841959 858468 1122612 1144624 1216163 1287702 1496816 1584864 1683918 1716936 2245224 2289248 2432326 2575404 2993632 3367836 3433872 3648489 4490448 4864652 5150808 6735672 6867744 7296978 8980896 9729304 10301616 10945467 13471344 14593956 19458608 20603232 21890934 26942688 29187912 38917216 43781868 58375824 87563736 116751648 175127472 350254944