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1035426816 = 21032283397
BaseRepresentation
bin111101101101110…
…101110000000000
32200011100010120100
4331231311300000
54110032124231
6250424442400
734441661034
oct7555656000
92604303510
101035426816
11491520546
1224a919400
131366922b8
149b7301c4
1560d7d1e6
hex3db75c00

1035426816 has 132 divisors (see below), whose sum is σ = 3007894552. Its totient is φ = 343056384.

The previous prime is 1035426767. The next prime is 1035426823. The reversal of 1035426816 is 6186245301.

It is a happy number.

1035426816 is a `hidden beast` number, since 103 + 542 + 6 + 8 + 1 + 6 = 666.

1035426816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10354268163 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607930 + ... + 2608326.

Almost surely, 21035426816 is an apocalyptic number.

1035426816 is a gapful number since it is divisible by the number (16) 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 1035426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503947276).

1035426816 is an abundant number, since it is smaller than the sum of its proper divisors (1972467736).

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

1035426816 is a wasteful number, since it uses less digits than its factorization.

1035426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1035426816 is about 32178.0486667542. The cubic root of 1035426816 is about 1011.6721690657.

The spelling of 1035426816 in words is "one billion, thirty-five million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 283 288 384 397 512 566 576 768 794 849 1024 1132 1152 1191 1536 1588 1698 2264 2304 2382 2547 3072 3176 3396 3573 4528 4608 4764 5094 6352 6792 7146 9056 9216 9528 10188 12704 13584 14292 18112 19056 20376 25408 27168 28584 36224 38112 40752 50816 54336 57168 72448 76224 81504 101632 108672 112351 114336 144896 152448 163008 203264 217344 224702 228672 289792 304896 326016 337053 406528 434688 449404 457344 609792 652032 674106 869376 898808 914688 1011159 1219584 1304064 1348212 1797616 1829376 2022318 2608128 2696424 3595232 3658752 4044636 5392848 7190464 8089272 10785696 14380928 16178544 21571392 28761856 32357088 43142784 57523712 64714176 86285568 115047424 129428352 172571136 258856704 345142272 517713408 1035426816