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352436940 = 223351973313
BaseRepresentation
bin10101000000011…
…100001011001100
3220120011122121000
4111000130023030
51210210440230
654545540300
711506443642
oct2500341314
9816148530
10352436940
11170a3a0a9
129a044690
135802a48b
1434b43192
1520e1ab60
hex1501c2cc

352436940 has 96 divisors (see below), whose sum is σ = 1102368960. Its totient is φ = 93477888.

The previous prime is 352436939. The next prime is 352436941. The reversal of 352436940 is 49634253.

352436940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (352436939) and next prime (352436941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352436895 and 352436904.

It is not an unprimeable number, because it can be changed into a prime (352436941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104724 + ... + 108036.

It is an arithmetic number, because the mean of its divisors is an integer number (11483010).

Almost surely, 2352436940 is an apocalyptic number.

352436940 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 352436940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551184480).

352436940 is an abundant number, since it is smaller than the sum of its proper divisors (749932020).

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

352436940 is a wasteful number, since it uses less digits than its factorization.

352436940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 352436940 is about 18773.3039180641. The cubic root of 352436940 is about 706.3616959633.

The spelling of 352436940 in words is "three hundred fifty-two million, four hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3313 3546 3940 5319 5910 6626 7092 8865 9939 10638 11820 13252 16565 17730 19878 21276 26595 29817 33130 35460 39756 49695 53190 59634 66260 89451 99390 106380 119268 149085 178902 198780 298170 357804 447255 596340 652661 894510 1305322 1789020 1957983 2610644 3263305 3915966 5873949 6526610 7831932 9789915 11747898 13053220 17621847 19579830 23495796 29369745 35243694 39159660 58739490 70487388 88109235 117478980 176218470 352436940