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344051020152 = 23337227546971
BaseRepresentation
bin1010000000110110000…
…10011111000101111000
31012220001111200201012000
411000123002133011320
521114104030121102
6422015503221000
733566622263460
oct5003302370570
91186044621160
10344051020152
11122a02916784
1256819ba7760
13265a02573c8
141291b744ba0
158e39b4801c
hex501b09f178

344051020152 has 64 divisors (see below), whose sum is σ = 1092225465600. Its totient is φ = 98300291040.

The previous prime is 344051020141. The next prime is 344051020169. The reversal of 344051020152 is 251020150443.

344051020152 is a `hidden beast` number, since 3 + 4 + 405 + 1 + 0 + 201 + 52 = 666.

It is a super-2 number, since 2×3440510201522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113771974 + ... + 113774997.

It is an arithmetic number, because the mean of its divisors is an integer number (17066022900).

Almost surely, 2344051020152 is an apocalyptic number.

It is an amenable number.

344051020152 is an abundant number, since it is smaller than the sum of its proper divisors (748174445448).

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

344051020152 is a wasteful number, since it uses less digits than its factorization.

344051020152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227546993 (or 227546983 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 344051020152 its reverse (251020150443), we get a palindrome (595071170595).

The spelling of 344051020152 in words is "three hundred forty-four billion, fifty-one million, twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 227546971 455093942 682640913 910187884 1365281826 1592828797 1820375768 2047922739 2730563652 3185657594 4095845478 4778486391 5461127304 6143768217 6371315188 8191690956 9556972782 12287536434 12742630376 14335459173 16383381912 19113945564 24575072868 28670918346 38227891128 43006377519 49150145736 57341836692 86012755038 114683673384 172025510076 344051020152