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352441040 = 24572632393
BaseRepresentation
bin10101000000011…
…101001011010000
3220120011212012212
4111000131023100
51210211103130
654550011252
711506461620
oct2500351320
9816155185
10352441040
11170a42196
129a046b28
135802c2c3
1434b44880
1520e1be95
hex1501d2d0

352441040 has 80 divisors (see below), whose sum is σ = 940439808. Its totient is φ = 120327168.

The previous prime is 352441039. The next prime is 352441049. The reversal of 352441040 is 40144253.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 352440997 and 352441015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352441049) 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 15 ways as a sum of consecutive naturals, for example, 146084 + ... + 148476.

Almost surely, 2352441040 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 352441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470219904).

352441040 is an abundant number, since it is smaller than the sum of its proper divisors (587998768).

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

352441040 is a wasteful number, since it uses less digits than its factorization.

352441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 352441040 is about 18773.4131153608. The cubic root of 352441040 is about 706.3644350554.

Adding to 352441040 its reverse (40144253), we get a palindrome (392585293).

The spelling of 352441040 in words is "three hundred fifty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 280 526 560 1052 1315 1841 2104 2393 2630 3682 4208 4786 5260 7364 9205 9572 10520 11965 14728 16751 18410 19144 21040 23930 29456 33502 36820 38288 47860 67004 73640 83755 95720 134008 147280 167510 191440 268016 335020 629359 670040 1258718 1340080 2517436 3146795 4405513 5034872 6293590 8811026 10069744 12587180 17622052 22027565 25174360 35244104 44055130 50348720 70488208 88110260 176220520 352441040