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345874996900 = 225219687175687
BaseRepresentation
bin1010000100001111100…
…00011001111010100100
31020001202121211022220101
411002013300121322210
521131322444400100
6422520501313444
733663050652106
oct5020760317244
91201677738811
10345874996900
11123759467484
1257048a05884
13268010c09a4
1412a51a9d576
158ee4d3a86a
hex5087c19ea4

345874996900 has 36 divisors (see below), whose sum is σ = 750591139648. Its totient is φ = 138342183840.

The previous prime is 345874996847. The next prime is 345874996913. The reversal of 345874996900 is 9699478543.

It is a super-2 number, since 2×3458749969002 (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1880857 + ... + 2056543.

Almost surely, 2345874996900 is an apocalyptic number.

It is an amenable number.

345874996900 is an abundant number, since it is smaller than the sum of its proper divisors (404716142748).

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

345874996900 is a wasteful number, since it uses less digits than its factorization.

345874996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195388 (or 195381 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 345874996900 in words is "three hundred forty-five billion, eight hundred seventy-four million, nine hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 19687 39374 78748 98435 175687 196870 351374 393740 492175 702748 878435 984350 1756870 1968700 3513740 4392175 8784350 17568700 3458749969 6917499938 13834999876 17293749845 34587499690 69174999380 86468749225 172937498450 345874996900