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342211968 = 2732742437
BaseRepresentation
bin10100011001011…
…011110110000000
3212211221011120100
4110121123312000
51200101240333
653542442400
711323516350
oct2431336600
9784834510
10342211968
11166195a0a
1296733400
1355b8a3b7
1433640b60
152009b213
hex1465bd80

342211968 has 96 divisors (see below), whose sum is σ = 1125455760. Its totient is φ = 97772544.

The previous prime is 342211957. The next prime is 342211981. The reversal of 342211968 is 869112243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13155 + ... + 29282.

Almost surely, 2342211968 is an apocalyptic number.

It is an amenable number.

342211968 is an abundant number, since it is smaller than the sum of its proper divisors (783243792).

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

342211968 is a wasteful number, since it uses less digits than its factorization.

342211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42464 (or 42449 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 342211968 is about 18498.9720795508. The cubic root of 342211968 is about 699.4635127452.

The spelling of 342211968 in words is "three hundred forty-two million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 42437 84874 127311 169748 254622 297059 339496 381933 509244 594118 678992 763866 891177 1018488 1188236 1357984 1527732 1782354 2036976 2376472 2673531 2715968 3055464 3564708 4073952 4752944 5347062 5431936 6110928 7129416 8147904 9505888 10694124 12221856 14258832 16295808 19011776 21388248 24443712 28517664 38023552 42776496 48887424 57035328 85552992 114070656 171105984 342211968