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1035641334 = 237134740357
BaseRepresentation
bin111101101110101…
…010000111110110
32200011202000211110
4331232222013312
54110111010314
6250433215450
734443543330
oct7556520766
92604660743
101035641334
11491657732
1224aa01586
13136738b30
149b788450
1560dc1a59
hex3dbaa1f6

1035641334 has 64 divisors (see below), whose sum is σ = 2603575296. Its totient is φ = 267318144.

The previous prime is 1035641333. The next prime is 1035641357. The reversal of 1035641334 is 4331465301.

It is a super-3 number, since 3×10356413343 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035641333) 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 31 ways as a sum of consecutive naturals, for example, 5484 + ... + 45840.

It is an arithmetic number, because the mean of its divisors is an integer number (40680864).

Almost surely, 21035641334 is an apocalyptic number.

1035641334 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 1035641334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301787648).

1035641334 is an abundant number, since it is smaller than the sum of its proper divisors (1567933962).

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

1035641334 is a wasteful number, since it uses less digits than its factorization.

1035641334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40429.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1035641334 is about 32181.3817913402. The cubic root of 1035641334 is about 1011.7420297587.

The spelling of 1035641334 in words is "one billion, thirty-five million, six hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 78 91 94 141 182 273 282 329 546 611 658 987 1222 1833 1974 3666 4277 8554 12831 25662 40357 80714 121071 242142 282499 524641 564998 847497 1049282 1573923 1694994 1896779 3147846 3672487 3793558 5690337 7344974 11017461 11380674 13277453 22034922 24658127 26554906 39832359 49316254 73974381 79664718 147948762 172606889 345213778 517820667 1035641334