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1035429108 = 223729214657
BaseRepresentation
bin111101101101110…
…110010011110100
32200011100020201020
4331231312103310
54110032212413
6250424501140
734442000520
oct7555662364
92604306636
101035429108
1149152223a
1224a91a7b0
1313669335c
149b730d80
1560d7dc23
hex3db764f4

1035429108 has 72 divisors (see below), whose sum is σ = 2859834432. Its totient is φ = 285616128.

The previous prime is 1035429091. The next prime is 1035429113. The reversal of 1035429108 is 8019245301.

It is a super-3 number, since 3×10354291083 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63316 + ... + 77972.

Almost surely, 21035429108 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 1035429108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429917216).

1035429108 is an abundant number, since it is smaller than the sum of its proper divisors (1824405324).

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

1035429108 is a wasteful number, since it uses less digits than its factorization.

1035429108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1035429108 is about 32178.0842810755. The cubic root of 1035429108 is about 1011.6729155375.

The spelling of 1035429108 in words is "one billion, thirty-five million, four hundred twenty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 841 1218 1682 2436 2523 3364 5046 5887 10092 11774 14657 17661 23548 29314 35322 43971 58628 70644 87942 102599 175884 205198 307797 410396 425053 615594 850106 1231188 1275159 1700212 2550318 2975371 5100636 5950742 8926113 11901484 12326537 17852226 24653074 35704452 36979611 49306148 73959222 86285759 147918444 172571518 258857277 345143036 517714554 1035429108