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354112320 = 2635616047
BaseRepresentation
bin10101000110110…
…101001101000000
3220200022202210010
4111012311031000
51211123043240
655045504520
711526622302
oct2506651500
9820282703
10354112320
11171983911
129a712140
1358495c23
143505b972
152114c280
hex151b5340

354112320 has 112 divisors (see below), whose sum is σ = 1142926848. Its totient is φ = 92866560.

The previous prime is 354112307. The next prime is 354112321. The reversal of 354112320 is 23211453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354112321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55537 + ... + 61583.

It is an arithmetic number, because the mean of its divisors is an integer number (10204704).

Almost surely, 2354112320 is an apocalyptic number.

354112320 is a gapful number since it is divisible by the number (30) 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 354112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571463424).

354112320 is an abundant number, since it is smaller than the sum of its proper divisors (788814528).

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

354112320 is a wasteful number, since it uses less digits than its factorization.

354112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 354112320 is about 18817.8723558217. The cubic root of 354112320 is about 707.4792046063.

Adding to 354112320 its reverse (23211453), we get a palindrome (377323773).

The spelling of 354112320 in words is "three hundred fifty-four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 6047 7320 9760 11712 12094 14640 18141 19520 24188 29280 30235 36282 48376 58560 60470 72564 90705 96752 120940 145128 181410 193504 241880 290256 362820 368867 387008 483760 580512 725640 737734 967520 1106601 1161024 1451280 1475468 1844335 1935040 2213202 2902560 2950936 3688670 4426404 5533005 5805120 5901872 7377340 8852808 11066010 11803744 14754680 17705616 22132020 23607488 29509360 35411232 44264040 59018720 70822464 88528080 118037440 177056160 354112320