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103333664 = 2572331647
BaseRepresentation
bin1100010100010…
…11111100100000
321012102220010202
412022023330200
5202423134124
614130444332
72363215220
oct612137440
9235386122
10103333664
1153369125
122a7336a8
131853cca5
14da1c080
1591125ae
hex628bf20

103333664 has 96 divisors (see below), whose sum is σ = 250822656. Its totient is φ = 40930560.

The previous prime is 103333661. The next prime is 103333669. The reversal of 103333664 is 466333301.

It is a super-2 number, since 2×1033336642 = 21355692231329792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103333661) 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, 159389 + ... + 160035.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2103333664 is an apocalyptic number.

103333664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

103333664 is an abundant number, since it is smaller than the sum of its proper divisors (147488992).

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

103333664 is a wasteful number, since it uses less digits than its factorization.

103333664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 103333664 is about 10165.3167191190. The cubic root of 103333664 is about 469.2604394224.

Adding to 103333664 its reverse (466333301), we get a palindrome (569666965).

The spelling of 103333664 in words is "one hundred three million, three hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 647 713 736 868 992 1288 1294 1426 1736 2576 2588 2852 3472 4529 4991 5152 5176 5704 6944 9058 9982 10352 11408 14881 18116 19964 20057 20704 22816 29762 36232 39928 40114 59524 72464 79856 80228 104167 119048 140399 144928 159712 160456 208334 238096 280798 320912 416668 461311 476192 561596 641824 833336 922622 1123192 1666672 1845244 2246384 3229177 3333344 3690488 4492768 6458354 7380976 12916708 14761952 25833416 51666832 103333664