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930444102 = 232717617121
BaseRepresentation
bin110111011101010…
…111001101000110
32101211210110100200
4313131113031012
53401143202402
6232154351330
732025434010
oct6735271506
92354713320
10930444102
11438236475
1221b72b546
1311a9c5853
148b8031b0
1556a4221c
hex37757346

930444102 has 96 divisors (see below), whose sum is σ = 2479823424. Its totient is φ = 246067200.

The previous prime is 930444029. The next prime is 930444103. The reversal of 930444102 is 201444039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930444103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127102 + ... + 134222.

It is an arithmetic number, because the mean of its divisors is an integer number (25831494).

Almost surely, 2930444102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930444102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239911712).

930444102 is an abundant number, since it is smaller than the sum of its proper divisors (1549379322).

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

930444102 is a wasteful number, since it uses less digits than its factorization.

930444102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 930444102 is about 30503.1818340317. The cubic root of 930444102 is about 976.2553549742.

The spelling of 930444102 in words is "nine hundred thirty million, four hundred forty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 61 63 102 119 122 126 153 183 238 306 357 366 427 549 714 854 1037 1071 1098 1281 2074 2142 2562 3111 3843 6222 7121 7259 7686 9333 14242 14518 18666 21363 21777 42726 43554 49847 64089 65331 99694 121057 128178 130662 149541 242114 299082 363171 434381 448623 726342 847399 868762 897246 1089513 1303143 1694798 2179026 2542197 2606286 3040667 3909429 5084394 6081334 7384477 7626591 7818858 9122001 14768954 15253182 18244002 22153431 27366003 44306862 51691339 54732006 66460293 103382678 132920586 155074017 310148034 465222051 930444102