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342121032 = 2332112511721
BaseRepresentation
bin10100011001000…
…101101001001000
3212211202112211100
4110121011221020
51200040333112
653540501400
711322660261
oct2431055110
9784675740
10342121032
11166133660
12966aa860
1355b57ba6
1433619968
152007e2dc
hex14645a48

342121032 has 96 divisors (see below), whose sum is σ = 1015428960. Its totient is φ = 103200000.

The previous prime is 342121027. The next prime is 342121057. The reversal of 342121032 is 230121243.

342121032 is a `hidden beast` number, since 3 + 421 + 210 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342120996 and 342121014.

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 23 ways as a sum of consecutive naturals, for example, 197932 + ... + 199652.

It is an arithmetic number, because the mean of its divisors is an integer number (10577385).

Almost surely, 2342121032 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 342121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507714480).

342121032 is an abundant number, since it is smaller than the sum of its proper divisors (673307928).

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

342121032 is a wasteful number, since it uses less digits than its factorization.

342121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342121032 is about 18496.5140499501. The cubic root of 342121032 is about 699.4015511007.

Adding to 342121032 its reverse (230121243), we get a palindrome (572242275).

The spelling of 342121032 in words is "three hundred forty-two million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 251 264 396 502 753 792 1004 1506 1721 2008 2259 2761 3012 3442 4518 5163 5522 6024 6884 8283 9036 10326 11044 13768 15489 16566 18072 18931 20652 22088 24849 30978 33132 37862 41304 49698 56793 61956 66264 75724 99396 113586 123912 151448 170379 198792 227172 340758 431971 454344 681516 863942 1295913 1363032 1727884 2591826 3455768 3887739 4751681 5183652 7775478 9503362 10367304 14255043 15550956 19006724 28510086 31101912 38013448 42765129 57020172 85530258 114040344 171060516 342121032