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334124362000 = 2453111343101269
BaseRepresentation
bin1001101110010110101…
…11010010100100010000
31011221102200221020011101
410313023113102210100
520433241314041000
6413254500354144
733065625134242
oct4671327224420
91157380836141
10334124362000
11119779545570
12549096a5954
132567a8088a0
1412259234092
158a58425e6a
hex4dcb5d2910

334124362000 has 640 divisors, whose sum is σ = 984491988480. Its totient is φ = 108057600000.

The previous prime is 334124361997. The next prime is 334124362001. The reversal of 334124362000 is 263421433.

It is a super-2 number, since 2×3341243620002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334124362000.

It is not an unprimeable number, because it can be changed into a prime (334124362001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1242097866 + ... + 1242098134.

It is an arithmetic number, because the mean of its divisors is an integer number (1538268732).

Almost surely, 2334124362000 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 334124362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492245994240).

334124362000 is an abundant number, since it is smaller than the sum of its proper divisors (650367626480).

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

334124362000 is a wasteful number, since it uses less digits than its factorization.

334124362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 334124362000 its reverse (263421433), we get a palindrome (334387783433).

The spelling of 334124362000 in words is "three hundred thirty-four billion, one hundred twenty-four million, three hundred sixty-two thousand".