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342445344 = 25323315003
BaseRepresentation
bin10100011010010…
…100110100100000
3212212101000200220
4110122110310200
51200131222334
653551443040
711325510633
oct2432246440
9785330626
10342445344
1116633528a
1296826480
1355c3c6a7
14336a1c1a
15200e5449
hex14694d20

342445344 has 96 divisors (see below), whose sum is σ = 968454144. Its totient is φ = 105642240.

The previous prime is 342445333. The next prime is 342445361. The reversal of 342445344 is 443544243.

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

It is an unprimeable number.

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, 65947 + ... + 70949.

It is an arithmetic number, because the mean of its divisors is an integer number (10088064).

Almost surely, 2342445344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484227072).

342445344 is an abundant number, since it is smaller than the sum of its proper divisors (626008800).

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

342445344 is a wasteful number, since it uses less digits than its factorization.

342445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5062 counting only the distinct ones).

The product of its digits is 92160, while the sum is 33.

The square root of 342445344 is about 18505.2788144356. The cubic root of 342445344 is about 699.6224794273.

Adding to 342445344 its reverse (443544243), we get a palindrome (785989587).

The spelling of 342445344 in words is "three hundred forty-two million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5003 5704 8556 10006 11408 15009 17112 20012 22816 30018 34224 40024 60036 68448 80048 115069 120072 155093 160096 230138 240144 310186 345207 460276 465279 480288 620372 690414 920552 930558 1240744 1380828 1841104 1861116 2481488 2761656 3567139 3682208 3722232 4962976 5523312 7134278 7444464 10701417 11046624 14268556 14888928 21402834 28537112 42805668 57074224 85611336 114148448 171222672 342445344