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352989696 = 293792909
BaseRepresentation
bin10101000010100…
…011001000000000
3220121012201211110
4111002203020000
51210331132241
655005443320
711514235323
oct2502431000
9817181743
10352989696
11171287424
129a270540
1358191c57
1434c487ba
1520ec9816
hex150a3200

352989696 has 80 divisors (see below), whose sum is σ = 952617600. Its totient is φ = 116133888.

The previous prime is 352989673. The next prime is 352989697. The reversal of 352989696 is 696989253.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (352989697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119890 + ... + 122798.

It is an arithmetic number, because the mean of its divisors is an integer number (11907720).

Almost surely, 2352989696 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 352989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476308800).

352989696 is an abundant number, since it is smaller than the sum of its proper divisors (599627904).

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

352989696 is an equidigital number, since it uses as much as digits as its factorization.

352989696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2993 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 57.

The square root of 352989696 is about 18788.0200127635. The cubic root of 352989696 is about 706.7307848946.

The spelling of 352989696 in words is "three hundred fifty-two million, nine hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 2909 3792 5056 5818 7584 8727 10112 11636 15168 17454 20224 23272 30336 34908 40448 46544 60672 69816 93088 121344 139632 186176 229811 279264 372352 459622 558528 689433 744704 919244 1117056 1378866 1489408 1838488 2234112 2757732 3676976 4468224 5515464 7353952 11030928 14707904 22061856 29415808 44123712 58831616 88247424 117663232 176494848 352989696