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342483984 = 24332334469
BaseRepresentation
bin10100011010011…
…110010000010000
3212212102222201000
4110122132100100
51200133441414
653552342000
711326031403
oct2432362020
9785388630
10342483984
11166361317
1296844900
1355c5415b
14336b1d3a
1520101b09
hex1469e410

342483984 has 80 divisors (see below), whose sum is σ = 1025827200. Its totient is φ = 109194624.

The previous prime is 342483983. The next prime is 342484003. The reversal of 342483984 is 489384243.

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

It is not an unprimeable number, because it can be changed into a prime (342483983) 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 15 ways as a sum of consecutive naturals, for example, 7299 + ... + 27170.

It is an arithmetic number, because the mean of its divisors is an integer number (12822840).

Almost surely, 2342483984 is an apocalyptic number.

It is an amenable number.

342483984 is an abundant number, since it is smaller than the sum of its proper divisors (683343216).

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

342483984 is a wasteful number, since it uses less digits than its factorization.

342483984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34509 (or 34497 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 342483984 is about 18506.3228114069. The cubic root of 342483984 is about 699.6487925274.

The spelling of 342483984 in words is "three hundred forty-two million, four hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 34469 68938 103407 137876 206814 275752 310221 413628 551504 620442 792787 827256 930663 1240884 1585574 1654512 1861326 2378361 2481768 3171148 3722652 4756722 4963536 6342296 7135083 7445304 9513444 12684592 14270166 14890608 19026888 21405249 28540332 38053776 42810498 57080664 85620996 114161328 171241992 342483984