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1000132434 = 2347341439
BaseRepresentation
bin111011100111001…
…100111101010010
32120200220222210000
4323213030331102
54022013214214
6243124150430
733532662000
oct7347147522
92520828700
101000132434
11473604334
1223ab38416
1312c285552
1496b83a70
155cc0a809
hex3b9ccf52

1000132434 has 160 divisors (see below), whose sum is σ = 2683296000. Its totient is φ = 278147520.

The previous prime is 1000132421. The next prime is 1000132481. The reversal of 1000132434 is 4342310001.

1000132434 is a `hidden beast` number, since 100 + 0 + 132 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2277987 + ... + 2278425.

It is an arithmetic number, because the mean of its divisors is an integer number (16770600).

Almost surely, 21000132434 is an apocalyptic number.

1000132434 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 1000132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341648000).

1000132434 is an abundant number, since it is smaller than the sum of its proper divisors (1683163566).

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

1000132434 is an equidigital number, since it uses as much as digits as its factorization.

1000132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000132434 is about 31624.8704977586. The cubic root of 1000132434 is about 1000.0441427181.

Adding to 1000132434 its reverse (4342310001), we get a palindrome (5342442435).

The spelling of 1000132434 in words is "one billion, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 81 82 98 123 126 147 162 189 246 287 294 343 369 378 439 441 567 574 686 738 861 878 882 1029 1107 1134 1317 1323 1722 2009 2058 2214 2583 2634 2646 3073 3087 3321 3951 3969 4018 5166 6027 6146 6174 6642 7749 7902 7938 9219 9261 11853 12054 14063 15498 17999 18081 18438 18522 21511 23247 23706 27657 27783 28126 35559 35998 36162 42189 43022 46494 53997 54243 55314 55566 64533 71118 82971 84378 107994 108486 125993 126567 129066 150577 161991 162729 165942 193599 248913 251986 253134 301154 323982 325458 377979 379701 387198 451731 485973 497826 580797 755958 759402 881951 903462 971946 1133937 1139103 1161594 1355193 1457919 1742391 1763902 2267874 2278206 2645853 2710386 2915838 3401811 3484782 4065579 5291706 6173657 6803622 7937559 8131158 10205433 12196737 12347314 15875118 18520971 20410866 23812677 24393474 37041942 47625354 55562913 71438031 111125826 142876062 166688739 333377478 500066217 1000132434