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340053252 = 2237112316001
BaseRepresentation
bin10100010001001…
…100110100000100
3212200212111100220
4110101030310010
51144023201002
653424304340
711266255620
oct2421146404
9780774326
10340053252
11164a51050
1295a720b0
13555b2956
143323c180
151ecc17bc
hex1444cd04

340053252 has 96 divisors (see below), whose sum is σ = 1032321024. Its totient is φ = 84480000.

The previous prime is 340053251. The next prime is 340053253. The reversal of 340053252 is 252350043.

It is an interprime number because it is at equal distance from previous prime (340053251) and next prime (340053253).

It is not an unprimeable number, because it can be changed into a prime (340053251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13252 + ... + 29252.

It is an arithmetic number, because the mean of its divisors is an integer number (10753344).

Almost surely, 2340053252 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 340053252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516160512).

340053252 is an abundant number, since it is smaller than the sum of its proper divisors (692267772).

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

340053252 is a wasteful number, since it uses less digits than its factorization.

340053252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16049 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 340053252 is about 18440.5328556417. The cubic root of 340053252 is about 697.9896414201.

The spelling of 340053252 in words is "three hundred forty million, fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 16001 21252 32002 48003 64004 96006 112007 176011 192012 224014 336021 352022 368023 448028 528033 672042 704044 736046 1056066 1104069 1232077 1344084 1472092 2112132 2208138 2464154 2576161 3696231 4048253 4416276 4928308 5152322 7392462 7728483 8096506 10304644 12144759 14784924 15456966 16193012 24289518 28337771 30913932 48579036 56675542 85013313 113351084 170026626 340053252