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340106036448 = 25323571269761
BaseRepresentation
bin1001111001011111110…
…01100100010011100000
31012111212120111202220110
410330233321210103200
521033014121131243
6420124220411320
733400100416323
oct4745771442340
91174776452813
10340106036448
11121268a9a072
1255ab89a6b40
13260c1b59419
14126658327ba
158ca863de33
hex4f2fe644e0

340106036448 has 96 divisors (see below), whose sum is σ = 933229769472. Its totient is φ = 108249292800.

The previous prime is 340106036437. The next prime is 340106036467. The reversal of 340106036448 is 844630601043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125888 + ... + 1395648.

It is an arithmetic number, because the mean of its divisors is an integer number (9721143432).

Almost surely, 2340106036448 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 340106036448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466614884736).

340106036448 is an abundant number, since it is smaller than the sum of its proper divisors (593123733024).

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

340106036448 is a wasteful number, since it uses less digits than its factorization.

340106036448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270368 (or 270360 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 340106036448 in words is "three hundred forty billion, one hundred six million, thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 571 736 1104 1142 1713 2208 2284 3426 4568 6852 9136 13133 13704 18272 26266 27408 39399 52532 54816 78798 105064 157596 210128 269761 315192 420256 539522 630384 809283 1079044 1260768 1618566 2158088 3237132 4316176 6204503 6474264 8632352 12409006 12948528 18613509 24818012 25897056 37227018 49636024 74454036 99272048 148908072 154033531 198544096 297816144 308067062 462100593 595632288 616134124 924201186 1232268248 1848402372 2464536496 3542771213 3696804744 4929072992 7085542426 7393609488 10628313639 14171084852 14787218976 21256627278 28342169704 42513254556 56684339408 85026509112 113368678816 170053018224 340106036448