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900620384 = 2523283641
BaseRepresentation
bin110101101011100…
…110000001100000
32022202200020220112
4311223212001200
53321024323014
6225211230452
731214101256
oct6553460140
92282606815
10900620384
11422416474
12211748428
13114782b91
148787c5d6
155410073e
hex35ae6060

900620384 has 72 divisors (see below), whose sum is σ = 1878797592. Its totient is φ = 424878080.

The previous prime is 900620381. The next prime is 900620417. The reversal of 900620384 is 483026009.

It is a super-2 number, since 2×9006203842 = 1622234152152614912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 900620384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900620381) 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 11 ways as a sum of consecutive naturals, for example, 1404704 + ... + 1405344.

It is an arithmetic number, because the mean of its divisors is an integer number (26094411).

Almost surely, 2900620384 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 900620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939398796).

900620384 is an abundant number, since it is smaller than the sum of its proper divisors (978177208).

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

900620384 is a wasteful number, since it uses less digits than its factorization.

900620384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 900620384 is about 30010.3379521124. The cubic root of 900620384 is about 965.7111759359.

The spelling of 900620384 in words is "nine hundred million, six hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 529 641 664 736 1058 1282 1328 1909 2116 2564 2656 3818 4232 5128 7636 8464 10256 14743 15272 16928 20512 29486 30544 43907 53203 58972 61088 87814 106406 117944 175628 212812 235888 339089 351256 425624 471776 678178 702512 851248 1223669 1356356 1405024 1702496 2447338 2712712 4894676 5425424 9789352 10850848 19578704 28144387 39157408 56288774 112577548 225155096 450310192 900620384