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334922899920 = 2435710310718089
BaseRepresentation
bin1001101111110101111…
…01011110000111010000
31012000111100112011020220
410313322331132013100
520441410230244140
6413510024033040
733124462451160
oct4677275360720
91160440464226
10334922899920
1111a049277964
1254ab1002780
132577709912b
14122d32dc5a0
158aa35aebd0
hex4dfaf5e1d0

334922899920 has 320 divisors, whose sum is σ = 1209368309760. Its totient is φ = 75097903104.

The previous prime is 334922899891. The next prime is 334922899967. The reversal of 334922899920 is 29998229433.

It is a super-2 number, since 2×3349228999202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18506236 + ... + 18524324.

It is an arithmetic number, because the mean of its divisors is an integer number (3779275968).

Almost surely, 2334922899920 is an apocalyptic number.

334922899920 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 334922899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604684154880).

334922899920 is an abundant number, since it is smaller than the sum of its proper divisors (874445409840).

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

334922899920 is a wasteful number, since it uses less digits than its factorization.

334922899920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18322 (or 18316 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 334922899920 in words is "three hundred thirty-four billion, nine hundred twenty-two million, eight hundred ninety-nine thousand, nine hundred twenty".