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103330944 = 2733291031
BaseRepresentation
bin1100010100010…
…11010010000000
321012102202102000
412022023102000
5202423042234
614130424000
72363204253
oct612132200
9235382360
10103330944
1153367082
122a732000
131853b992
14da1b09a
159111899
hex628b480

103330944 has 128 divisors (see below), whose sum is σ = 315792000. Its totient is φ = 33223680.

The previous prime is 103330943. The next prime is 103330993. The reversal of 103330944 is 449033301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1033309442 = 21354567975862272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103330943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99709 + ... + 100739.

It is an arithmetic number, because the mean of its divisors is an integer number (2467125).

Almost surely, 2103330944 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 103330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157896000).

103330944 is an abundant number, since it is smaller than the sum of its proper divisors (212461056).

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

103330944 is a wasteful number, since it uses less digits than its factorization.

103330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103330944 is about 10165.1829299821. The cubic root of 103330944 is about 469.2563220175.

The spelling of 103330944 in words is "one hundred three million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1031 1044 1152 1392 1566 1728 1856 2062 2088 2784 3093 3132 3456 3712 4124 4176 5568 6186 6264 8248 8352 9279 11136 12372 12528 16496 16704 18558 24744 25056 27837 29899 32992 33408 37116 49488 50112 55674 59798 65984 74232 89697 98976 100224 111348 119596 131968 148464 179394 197952 222696 239192 269091 296928 358788 395904 445392 478384 538182 593856 717576 807273 890784 956768 1076364 1187712 1435152 1614546 1781568 1913536 2152728 2870304 3229092 3563136 3827072 4305456 5740608 6458184 8610912 11481216 12916368 17221824 25832736 34443648 51665472 103330944