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342855936 = 283349603
BaseRepresentation
bin10100011011111…
…001000100000000
3212220010212221000
4110123321010000
51200232342221
654004332000
711332140663
oct2433710400
9786125830
10342855936
11166595815
12969a4000
1356054547
143376b6da
1520176e26
hex146f9100

342855936 has 72 divisors (see below), whose sum is σ = 1013905760. Its totient is φ = 114283008.

The previous prime is 342855923. The next prime is 342855937. The reversal of 342855936 is 639558243.

342855936 is a `hidden beast` number, since 34 + 28 + 5 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 342855891 and 342855900.

It is not an unprimeable number, because it can be changed into a prime (342855937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17890 + ... + 31713.

Almost surely, 2342855936 is an apocalyptic number.

342855936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342855936 is an abundant number, since it is smaller than the sum of its proper divisors (671049824).

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

342855936 is an equidigital number, since it uses as much as digits as its factorization.

342855936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49628 (or 49608 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 342855936 is about 18516.3694065548. The cubic root of 342855936 is about 699.9019835549.

The spelling of 342855936 in words is "three hundred forty-two million, eight hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 49603 99206 148809 198412 297618 396824 446427 595236 793648 892854 1190472 1339281 1587296 1785708 2380944 2678562 3174592 3571416 4761888 5357124 6349184 7142832 9523776 10714248 12698368 14285664 19047552 21428496 28571328 38095104 42856992 57142656 85713984 114285312 171427968 342855936