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70384896 = 283317599
BaseRepresentation
bin1000011000111…
…11110100000000
311220102220221000
410030133310000
5121004304041
610552332000
71513155531
oct414376400
9156386830
1070384896
113680423a
121b6a4000
1311774a8a
1494c2688
1562a4bb6
hex431fd00

70384896 has 144 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 22044672.

The previous prime is 70384891. The next prime is 70384961. The reversal of 70384896 is 69848307.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70384891) 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, 117205 + ... + 117803.

It is an arithmetic number, because the mean of its divisors is an integer number (1533000).

Almost surely, 270384896 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 70384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

70384896 is an abundant number, since it is smaller than the sum of its proper divisors (150367104).

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

70384896 is a wasteful number, since it uses less digits than its factorization.

70384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 70384896 is about 8389.5706683954. The cubic root of 70384896 is about 412.8825146029.

The spelling of 70384896 in words is "seventy million, three hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 599 612 768 816 864 918 1088 1152 1198 1224 1632 1728 1797 1836 2176 2304 2396 2448 3264 3456 3594 3672 4352 4792 4896 5391 6528 6912 7188 7344 9584 9792 10183 10782 13056 14376 14688 16173 19168 19584 20366 21564 28752 29376 30549 32346 38336 39168 40732 43128 57504 58752 61098 64692 76672 81464 86256 91647 115008 117504 122196 129384 153344 162928 172512 183294 230016 244392 258768 274941 325856 345024 366588 460032 488784 517536 549882 651712 690048 733176 977568 1035072 1099764 1303424 1380096 1466352 1955136 2070144 2199528 2606848 2932704 3910272 4140288 4399056 5865408 7820544 8798112 11730816 17596224 23461632 35192448 70384896