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352061416 = 23767103911
BaseRepresentation
bin10100111111000…
…000011111101000
3220112110120110201
4110333000133220
51210111431131
654533521544
711503321060
oct2477003750
9815416421
10352061416
11170802a53
1299aa32b4
1357c28585
1434a863a0
1520d94761
hex14fc07e8

352061416 has 64 divisors (see below), whose sum is σ = 773959680. Its totient is φ = 147026880.

The previous prime is 352061387. The next prime is 352061417. The reversal of 352061416 is 614160253.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (352061417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386001 + ... + 386911.

It is an arithmetic number, because the mean of its divisors is an integer number (12093120).

Almost surely, 2352061416 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 352061416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386979840).

352061416 is an abundant number, since it is smaller than the sum of its proper divisors (421898264).

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

352061416 is a wasteful number, since it uses less digits than its factorization.

352061416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 352061416 is about 18763.2997098058. The cubic root of 352061416 is about 706.1107290471.

The spelling of 352061416 in words is "three hundred fifty-two million, sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 67 103 134 206 268 412 469 536 721 824 911 938 1442 1822 1876 2884 3644 3752 5768 6377 6901 7288 12754 13802 25508 27604 48307 51016 55208 61037 93833 96614 122074 187666 193228 244148 375332 386456 427259 488296 656831 750664 854518 1313662 1709036 2627324 3418072 5254648 6286811 12573622 25147244 44007677 50294488 88015354 176030708 352061416