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350024052 = 223724114519
BaseRepresentation
bin10100110111001…
…111000101110100
3220101122001201210
4110313033011310
51204101232202
654422121420
711450104200
oct2467170564
9811561653
10350024052
1116a641284
1299280270
1357694131
14346b5b00
1520ae0c6c
hex14dcf174

350024052 has 72 divisors (see below), whose sum is σ = 973304640. Its totient is φ = 97560960.

The previous prime is 350024041. The next prime is 350024063. The reversal of 350024052 is 250420053.

350024052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (350024041) and next prime (350024063).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16849 + ... + 31367.

It is an arithmetic number, because the mean of its divisors is an integer number (13518120).

Almost surely, 2350024052 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 350024052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486652320).

350024052 is an abundant number, since it is smaller than the sum of its proper divisors (623280588).

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

350024052 is a wasteful number, since it uses less digits than its factorization.

350024052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 350024052 is about 18708.9297395655. The cubic root of 350024052 is about 704.7460158490.

The spelling of 350024052 in words is "three hundred fifty million, twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 6027 8036 12054 14519 24108 29038 43557 58076 87114 101633 174228 203266 304899 406532 595279 609798 711431 1190558 1219596 1422862 1785837 2134293 2381116 2845724 3571674 4166953 4268586 7143348 8333906 8537172 12500859 16667812 25001718 29168671 50003436 58337342 87506013 116674684 175012026 350024052