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352641420 = 223259831993
BaseRepresentation
bin10101000001001…
…110000110001100
3220120120001002100
4111001032012030
51210234011140
654554155100
711511255045
oct2501160614
9816501070
10352641420
1117106979a
129a122a90
135809c581
1434b978cc
1520e5b530
hex1504e18c

352641420 has 72 divisors (see below), whose sum is σ = 1071304416. Its totient is φ = 93894912.

The previous prime is 352641403. The next prime is 352641431. The reversal of 352641420 is 24146253.

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, 175944 + ... + 177936.

It is an arithmetic number, because the mean of its divisors is an integer number (14879228).

Almost surely, 2352641420 is an apocalyptic number.

352641420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352641420 is an abundant number, since it is smaller than the sum of its proper divisors (718662996).

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

352641420 is a wasteful number, since it uses less digits than its factorization.

352641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 352641420 is about 18778.7491596219. The cubic root of 352641420 is about 706.4982772905.

Adding to 352641420 its reverse (24146253), we get a palindrome (376787673).

The spelling of 352641420 in words is "three hundred fifty-two million, six hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 983 1966 1993 2949 3932 3986 4915 5898 5979 7972 8847 9830 9965 11796 11958 14745 17694 17937 19660 19930 23916 29490 29895 35388 35874 39860 44235 58980 59790 71748 88470 89685 119580 176940 179370 358740 1959119 3918238 5877357 7836476 9795595 11754714 17632071 19591190 23509428 29386785 35264142 39182380 58773570 70528284 88160355 117547140 176320710 352641420