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1002690234 = 2327213157557
BaseRepresentation
bin111011110000111…
…101011010111010
32120212201221102100
4323300331122322
54023142041414
6243255044230
733563504100
oct7360753272
92525657370
101002690234
11474aa1017
1223b970676
1312c96c840
149724bc70
155d063609
hex3bc3d6ba

1002690234 has 144 divisors (see below), whose sum is σ = 2743840008. Its totient is φ = 262289664.

The previous prime is 1002690233. The next prime is 1002690239. The reversal of 1002690234 is 4320962001.

It can be written as a sum of positive squares in 4 ways, for example, as 351675009 + 651015225 = 18753^2 + 25515^2 .

1002690234 is a modest number, since divided by 90234 gives 10026 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1002690198 and 1002690207.

It is not an unprimeable number, because it can be changed into a prime (1002690233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1799884 + ... + 1800440.

Almost surely, 21002690234 is an apocalyptic number.

1002690234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002690234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371920004).

1002690234 is an abundant number, since it is smaller than the sum of its proper divisors (1741149774).

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

1002690234 is a wasteful number, since it uses less digits than its factorization.

1002690234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 739 counting only the distinct ones).

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

The square root of 1002690234 is about 31665.2843663214. The cubic root of 1002690234 is about 1000.8959417154.

It can be divided in two parts, 10026 and 90234, that multiplied together give a square (904686084 = 300782).

The spelling of 1002690234 in words is "one billion, two million, six hundred ninety thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 157 182 234 273 294 314 441 471 546 557 637 819 882 942 1099 1114 1274 1413 1638 1671 1911 2041 2198 2826 3297 3342 3822 3899 4082 5013 5733 6123 6594 7241 7693 7798 9891 10026 11466 11697 12246 14287 14482 15386 18369 19782 21723 23079 23394 27293 28574 35091 36738 42861 43446 46158 50687 54586 65169 69237 70182 81879 85722 87449 100009 101374 128583 130338 138474 152061 163758 174898 200018 245637 257166 262347 300027 304122 354809 456183 491274 524694 600054 612143 709618 787041 900081 912366 1064427 1136837 1224286 1574082 1800162 1836429 2128854 2273674 3193281 3410511 3672858 4285001 5509287 6386562 6821022 7957859 8570002 10231533 11018574 12855003 15915718 20463066 23873577 25710006 38565009 47747154 55705013 71620731 77130018 111410026 143241462 167115039 334230078 501345117 1002690234