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345621263424 = 2635035216869
BaseRepresentation
bin1010000011110001010…
…00011111010001000000
31020001002221101100000020
411001320220133101000
521130313020412144
6422435355053440
733653550160263
oct5017050372100
91201087340006
10345621263424
11123639213798
1256b97a41280
1326790671b38
1412a2a0d0cda
158ecc91a419
hex5078a1f440

345621263424 has 112 divisors (see below), whose sum is σ = 918166596480. Its totient is φ = 114740654080.

The previous prime is 345621263423. The next prime is 345621263459. The reversal of 345621263424 is 424362126543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345621263423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50312662 + ... + 50319530.

It is an arithmetic number, because the mean of its divisors is an integer number (8197916040).

Almost surely, 2345621263424 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 345621263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459083298240).

345621263424 is an abundant number, since it is smaller than the sum of its proper divisors (572545333056).

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

345621263424 is a wasteful number, since it uses less digits than its factorization.

345621263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7898 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

Adding to 345621263424 its reverse (424362126543), we get a palindrome (769983389967).

The spelling of 345621263424 in words is "three hundred forty-five billion, six hundred twenty-one million, two hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 503 521 1006 1042 1509 1563 2012 2084 3018 3126 4024 4168 6036 6252 6869 8048 8336 12072 12504 13738 16096 16672 20607 24144 25008 27476 32192 33344 41214 48288 50016 54952 82428 96576 100032 109904 164856 219808 262063 329712 439616 524126 659424 786189 1048252 1318848 1572378 2096504 3144756 3455107 3578749 4193008 6289512 6910214 7157498 8386016 10365321 10736247 12579024 13820428 14314996 16772032 20730642 21472494 25158048 27640856 28629992 41461284 42944988 50316096 55281712 57259984 82922568 85889976 110563424 114519968 165845136 171779952 221126848 229039936 331690272 343559904 663380544 687119808 1800110747 3600221494 5400332241 7200442988 10800664482 14400885976 21601328964 28801771952 43202657928 57603543904 86405315856 115207087808 172810631712 345621263424