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70381344 = 2531127383
BaseRepresentation
bin1000011000111…
…10111100100000
311220102202001110
410030132330200
5121004200334
610552303320
71513142265
oct414367440
9156382043
1070381344
1136801600
121b6a1b40
1311773287
1494c126c
1562a3ae9
hex431ef20

70381344 has 144 divisors (see below), whose sum is σ = 208335456. Its totient is φ = 20782080.

The previous prime is 70381303. The next prime is 70381349. The reversal of 70381344 is 44318307.

It is not an unprimeable number, because it can be changed into a prime (70381349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847927 + ... + 848009.

It is an arithmetic number, because the mean of its divisors is an integer number (1446774).

Almost surely, 270381344 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 70381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104167728).

70381344 is an abundant number, since it is smaller than the sum of its proper divisors (137954112).

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

70381344 is a wasteful number, since it uses less digits than its factorization.

70381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 70381344 is about 8389.3589743198. The cubic root of 70381344 is about 412.8755690628.

The spelling of 70381344 in words is "seventy million, three hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 83 88 96 121 132 146 166 176 219 242 249 264 292 332 352 363 438 484 498 528 584 664 726 803 876 913 968 996 1056 1168 1328 1452 1606 1752 1826 1936 1992 2336 2409 2656 2739 2904 3212 3504 3652 3872 3984 4818 5478 5808 6059 6424 7008 7304 7968 8833 9636 10043 10956 11616 12118 12848 14608 17666 18177 19272 20086 21912 24236 25696 26499 29216 30129 35332 36354 38544 40172 43824 48472 52998 60258 66649 70664 72708 77088 80344 87648 96944 105996 120516 133298 141328 145416 160688 193888 199947 211992 241032 266596 282656 290832 321376 399894 423984 482064 533192 581664 733139 799788 847968 964128 1066384 1466278 1599576 2132768 2199417 2932556 3199152 4398834 5865112 6398304 8797668 11730224 17595336 23460448 35190672 70381344