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345188077248 = 2637283907549
BaseRepresentation
bin1010000010111101101…
…00000000111011000000
31012222222202021012021210
411001132310000323000
521123421121432443
6422324402250120
733640040146650
oct5013664007300
91188882235253
10345188077248
11123436741593
1256a96956940
13267219b1261
14129c876c360
158ea489dc33
hex505ed00ec0

345188077248 has 112 divisors (see below), whose sum is σ = 1047472428800. Its totient is φ = 98276557824.

The previous prime is 345188077231. The next prime is 345188077249. The reversal of 345188077248 is 842770881543.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (345188077249) 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, 73423 + ... + 834126.

It is an arithmetic number, because the mean of its divisors is an integer number (9352432400).

Almost surely, 2345188077248 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 345188077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523736214400).

345188077248 is an abundant number, since it is smaller than the sum of its proper divisors (702284351552).

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

345188077248 is a wasteful number, since it uses less digits than its factorization.

345188077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907854 (or 907844 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 345188077248 in words is "three hundred forty-five billion, one hundred eighty-eight million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 283 336 448 566 672 849 1132 1344 1698 1981 2264 3396 3962 4528 5943 6792 7924 9056 11886 13584 15848 18112 23772 27168 31696 47544 54336 63392 95088 126784 190176 380352 907549 1815098 2722647 3630196 5445294 6352843 7260392 10890588 12705686 14520784 19058529 21781176 25411372 29041568 38117058 43562352 50822744 58083136 76234116 87124704 101645488 152468232 174249408 203290976 256836367 304936464 406581952 513672734 609872928 770509101 1027345468 1219745856 1541018202 1797854569 2054690936 3082036404 3595709138 4109381872 5393563707 6164072808 7191418276 8218763744 10787127414 12328145616 14382836552 16437527488 21574254828 24656291232 28765673104 43148509656 49312582464 57531346208 86297019312 115062692416 172594038624 345188077248