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350113536 = 2833373
BaseRepresentation
bin10100110111100…
…100111100000000
3220101210121111000
4110313210330000
51204112113121
654424052000
711450626113
oct2467447400
9811717430
10350113536
1116a6a2533
1299304000
13576c5a96
14346da57a
1520b0c526
hex14de4f00

350113536 has 144 divisors (see below), whose sum is σ = 1064106400. Its totient is φ = 113550336.

The previous prime is 350113531. The next prime is 350113591. The reversal of 350113536 is 635311053.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350113531) 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 15 ways as a sum of consecutive naturals, for example, 9462510 + ... + 9462546.

Almost surely, 2350113536 is an apocalyptic number.

350113536 is a gapful number since it is divisible by the number (36) 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 350113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532053200).

350113536 is an abundant number, since it is smaller than the sum of its proper divisors (713992864).

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

350113536 is an frugal number, since it uses more digits than its factorization.

350113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 350113536 is about 18711.3210650665. The cubic root of 350113536 is about 704.8060670739.

Adding to 350113536 its reverse (635311053), we get a palindrome (985424589).

The spelling of 350113536 in words is "three hundred fifty million, one hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1369 1728 1776 1998 2304 2368 2664 2738 3456 3552 3996 4107 4736 5328 5476 6912 7104 7992 8214 9472 10656 10952 12321 14208 15984 16428 21312 21904 24642 28416 31968 32856 36963 42624 43808 49284 50653 63936 65712 73926 85248 87616 98568 101306 127872 131424 147852 151959 175232 197136 202612 255744 262848 295704 303918 350464 394272 405224 455877 525696 591408 607836 788544 810448 911754 1051392 1182816 1215672 1367631 1577088 1620896 1823508 2365632 2431344 2735262 3154176 3241792 3647016 4731264 4862688 5470524 6483584 7294032 9462528 9725376 10941048 12967168 14588064 19450752 21882096 29176128 38901504 43764192 58352256 87528384 116704512 175056768 350113536