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342915360 = 25351813947
BaseRepresentation
bin10100011100000…
…111100100100000
3212220020220102220
4110130013210200
51200241242420
654005511040
711332506144
oct2434074440
9786226386
10342915360
11166626427
1296a12480
13560755c8
1433785224
1520189840
hex14707920

342915360 has 96 divisors (see below), whose sum is σ = 1086426432. Its totient is φ = 90915840.

The previous prime is 342915341. The next prime is 342915373. The reversal of 342915360 is 63519243.

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, 84907 + ... + 88853.

It is an arithmetic number, because the mean of its divisors is an integer number (11316942).

Almost surely, 2342915360 is an apocalyptic number.

342915360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543213216).

342915360 is an abundant number, since it is smaller than the sum of its proper divisors (743511072).

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

342915360 is a wasteful number, since it uses less digits than its factorization.

342915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 342915360 is about 18517.9739712529. The cubic root of 342915360 is about 699.9424170320.

The spelling of 342915360 in words is "three hundred forty-two million, nine hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1810 2172 2715 2896 3620 3947 4344 5430 5792 7240 7894 8688 10860 11841 14480 15788 17376 19735 21720 23682 28960 31576 39470 43440 47364 59205 63152 78940 86880 94728 118410 126304 157880 189456 236820 315760 378912 473640 631520 714407 947280 1428814 1894560 2143221 2857628 3572035 4286442 5715256 7144070 8572884 10716105 11430512 14288140 17145768 21432210 22861024 28576280 34291536 42864420 57152560 68583072 85728840 114305120 171457680 342915360