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342124320 = 25351741927
BaseRepresentation
bin10100011001000…
…110011100100000
3212211202201100010
4110121012130200
51200040434240
653540524520
711323002666
oct2431063440
9784681303
10342124320
1116613607a
12966b0740
1355b59535
143361ac36
1520080280
hex14646720

342124320 has 96 divisors (see below), whose sum is σ = 1141112448. Its totient is φ = 85864448.

The previous prime is 342124319. The next prime is 342124361. The reversal of 342124320 is 23421243.

342124320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 12804 + ... + 29123.

It is an arithmetic number, because the mean of its divisors is an integer number (11886588).

Almost surely, 2342124320 is an apocalyptic number.

342124320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342124320 is an abundant number, since it is smaller than the sum of its proper divisors (798988128).

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

342124320 is a wasteful number, since it uses less digits than its factorization.

342124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41962 (or 41954 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 342124320 is about 18496.6029313493. The cubic root of 342124320 is about 699.4037916576.

Adding to 342124320 its reverse (23421243), we get a palindrome (365545563).

The spelling of 342124320 in words is "three hundred forty-two million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 41927 83854 125781 167708 209635 251562 335416 419270 503124 628905 670832 712759 838540 1006248 1257810 1341664 1425518 1677080 2012496 2138277 2515620 2851036 3354160 3563795 4024992 4276554 5031240 5702072 6708320 7127590 8553108 10062480 10691385 11404144 14255180 17106216 20124960 21382770 22808288 28510360 34212432 42765540 57020720 68424864 85531080 114041440 171062160 342124320