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100069344 = 253517757
BaseRepresentation
bin1011111011011…
…10111111100000
320222022001100000
411331232333200
5201104204334
613532500000
72323401234
oct575567740
9228261300
10100069344
1151539641
122961a600
131796923b
14d40c5c4
158bba299
hex5f6efe0

100069344 has 144 divisors (see below), whose sum is σ = 312884208. Its totient is φ = 31352832.

The previous prime is 100069337. The next prime is 100069357. The reversal of 100069344 is 443960001.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131814 + ... + 132570.

It is an arithmetic number, because the mean of its divisors is an integer number (2172807).

Almost surely, 2100069344 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 100069344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156442104).

100069344 is an abundant number, since it is smaller than the sum of its proper divisors (212814864).

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

100069344 is an equidigital number, since it uses as much as digits as its factorization.

100069344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100069344 is about 10003.4665991345. The cubic root of 100069344 is about 464.2661473501.

The spelling of 100069344 in words is "one hundred million, sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 757 816 864 918 972 1224 1296 1377 1514 1632 1836 1944 2271 2448 2592 2754 3028 3672 3888 4131 4542 4896 5508 6056 6813 7344 7776 8262 9084 11016 12112 12869 13626 14688 16524 18168 20439 22032 24224 25738 27252 33048 36336 38607 40878 44064 51476 54504 61317 66096 72672 77214 81756 102952 109008 115821 122634 132192 154428 163512 183951 205904 218016 231642 245268 308856 327024 347463 367902 411808 463284 490536 617712 654048 694926 735804 926568 981072 1042389 1235424 1389852 1471608 1853136 1962144 2084778 2779704 2943216 3127167 3706272 4169556 5559408 5886432 6254334 8339112 11118816 12508668 16678224 25017336 33356448 50034672 100069344