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345203602912 = 2572701314059
BaseRepresentation
bin1010000010111111011…
…11001111010111100000
31020000000211110222111101
411001133233033113200
521123434110243122
6422330115124144
733640316132200
oct5013757172740
91200024428441
10345203602912
11123444486213
1256a9bba3654
1326724c88c3c
14129ca850400
158ea5e19027
hex505fbcf5e0

345203602912 has 72 divisors (see below), whose sum is σ = 791708200920. Its totient is φ = 147732883200.

The previous prime is 345203602889. The next prime is 345203603009. The reversal of 345203602912 is 219206302543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942139 + ... + 1256197.

It is an arithmetic number, because the mean of its divisors is an integer number (10995947235).

Almost surely, 2345203602912 is an apocalyptic number.

345203602912 is a gapful number since it is divisible by the number (32) 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 345203602912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395854100460).

345203602912 is an abundant number, since it is smaller than the sum of its proper divisors (446504598008).

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

345203602912 is a wasteful number, since it uses less digits than its factorization.

345203602912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314784 (or 314769 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 345203602912 in words is "three hundred forty-five billion, two hundred three million, six hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 701 784 1402 1568 2804 4907 5608 9814 11216 19628 22432 34349 39256 68698 78512 137396 157024 274792 314059 549584 628118 1099168 1256236 2198413 2512472 4396826 5024944 8793652 10049888 15388891 17587304 30777782 35174608 61555564 70349216 123111128 220155359 246222256 440310718 492444512 880621436 1541087513 1761242872 3082175026 3522485744 6164350052 7044971488 10787612591 12328700104 21575225182 24657400208 43150450364 49314800416 86300900728 172601801456 345203602912