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4316389344 = 253314933529
BaseRepresentation
bin1000000010100011…
…01101111111100000
3102010211001022001000
410001101231333200
532314443424334
61552151112000
7211651463331
oct40121557740
912124038030
104316389344
111915542223
12a05672600
1353a33a347
142cd392288
151a3e20299
hex10146dfe0

4316389344 has 96 divisors (see below), whose sum is σ = 12674340000. Its totient is φ = 1429097472.

The previous prime is 4316389313. The next prime is 4316389361. The reversal of 4316389344 is 4439836134.

4316389344 is a `hidden beast` number, since 4 + 3 + 1 + 638 + 9 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4316389344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111972 + ... + 145500.

It is an arithmetic number, because the mean of its divisors is an integer number (132024375).

Almost surely, 24316389344 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 4316389344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337170000).

4316389344 is an abundant number, since it is smaller than the sum of its proper divisors (8357950656).

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

4316389344 is a wasteful number, since it uses less digits than its factorization.

4316389344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33697 (or 33683 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4316389344 is about 65699.2339681369. The cubic root of 4316389344 is about 1628.1967014369.

The spelling of 4316389344 in words is "four billion, three hundred sixteen million, three hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 149 216 288 298 432 447 596 864 894 1192 1341 1788 2384 2682 3576 4023 4768 5364 7152 8046 10728 14304 16092 21456 32184 33529 42912 64368 67058 100587 128736 134116 201174 268232 301761 402348 536464 603522 804696 905283 1072928 1207044 1609392 1810566 2414088 3218784 3621132 4828176 4995821 7242264 9656352 9991642 14484528 14987463 19983284 28969056 29974926 39966568 44962389 59949852 79933136 89924778 119899704 134887167 159866272 179849556 239799408 269774334 359699112 479598816 539548668 719398224 1079097336 1438796448 2158194672 4316389344