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352770048 = 2113219139
BaseRepresentation
bin10101000001101…
…101100000000000
3220120210120112100
4111001231200000
51210302120143
655001030400
711512332051
oct2501554000
9816716470
10352770048
111711473a4
129a185400
1358115c97
1434bcc728
1520e846d3
hex1506d800

352770048 has 72 divisors (see below), whose sum is σ = 1018917900. Its totient is φ = 117583872.

The previous prime is 352770037. The next prime is 352770079. The reversal of 352770048 is 840077253.

352770048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 352769994 and 352770021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8863 + ... + 28001.

Almost surely, 2352770048 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 352770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509458950).

352770048 is an abundant number, since it is smaller than the sum of its proper divisors (666147852).

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

352770048 is a wasteful number, since it uses less digits than its factorization.

352770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19167 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 352770048 is about 18782.1736761217. The cubic root of 352770048 is about 706.5841666277.

The spelling of 352770048 in words is "three hundred fifty-two million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 19139 38278 57417 76556 114834 153112 172251 229668 306224 344502 459336 612448 689004 918672 1224896 1378008 1837344 2449792 2756016 3674688 4899584 5512032 7349376 9799168 11024064 14698752 19598336 22048128 29397504 39196672 44096256 58795008 88192512 117590016 176385024 352770048