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342198400 = 2752106937
BaseRepresentation
bin10100011001011…
…000100010000000
3212211220110221211
4110121120202000
51200100322100
653542255504
711323431655
oct2431304200
9784813854
10342198400
111661867a5
1296727594
1355b8417b
1433639c2c
15200971ba
hex14658880

342198400 has 48 divisors (see below), whose sum is σ = 845344890. Its totient is φ = 136878080.

The previous prime is 342198383. The next prime is 342198421. The reversal of 342198400 is 4891243.

It can be written as a sum of positive squares in 3 ways, for example, as 239135296 + 103063104 = 15464^2 + 10152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50269 + ... + 56668.

Almost surely, 2342198400 is an apocalyptic number.

It is an amenable number.

342198400 is an abundant number, since it is smaller than the sum of its proper divisors (503146490).

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

342198400 is a wasteful number, since it uses less digits than its factorization.

342198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106961 (or 106944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 342198400 is about 18498.6053528367. The cubic root of 342198400 is about 699.4542685269.

The spelling of 342198400 in words is "three hundred forty-two million, one hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 106937 213874 427748 534685 855496 1069370 1710992 2138740 2673425 3421984 4277480 5346850 6843968 8554960 10693700 13687936 17109920 21387400 34219840 42774800 68439680 85549600 171099200 342198400