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3403956096 = 27331951839
BaseRepresentation
bin1100101011100100…
…0011111110000000
322210020010212221000
43022321003332000
523432403043341
61321434332000
7150232102152
oct31271037600
98706125830
103403956096
111497498662
127abb8a000
134232ac708
1424411aad2
1514dc898b6
hexcae43f80

3403956096 has 128 divisors (see below), whose sum is σ = 10575360000. Its totient is φ = 1074912768.

The previous prime is 3403956043. The next prime is 3403956103. The reversal of 3403956096 is 6906593043.

It is a happy number.

3403956096 is a `hidden beast` number, since 3 + 4 + 0 + 39 + 5 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34039560962 = 23173834206991122432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39745 + ... + 91583.

It is an arithmetic number, because the mean of its divisors is an integer number (82620000).

Almost surely, 23403956096 is an apocalyptic number.

3403956096 is a gapful number since it is divisible by the number (36) 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 3403956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

3403956096 is an abundant number, since it is smaller than the sum of its proper divisors (7171403904).

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

3403956096 is a wasteful number, since it uses less digits than its factorization.

3403956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51881 (or 51863 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3403956096 is about 58343.4323296119. The cubic root of 3403956096 is about 1504.2775819330.

The spelling of 3403956096 in words is "three billion, four hundred three million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 51839 65664 103678 155517 207356 311034 414712 466551 622068 829424 933102 984941 1244136 1399653 1658848 1866204 1969882 2488272 2799306 2954823 3317696 3732408 3939764 4976544 5598612 5909646 6635392 7464816 7879528 8864469 9953088 11197224 11819292 14929632 15759056 17728938 19906176 22394448 23638584 26593407 29859264 31518112 35457876 44788896 47277168 53186814 59718528 63036224 70915752 89577792 94554336 106373628 126072448 141831504 179155584 189108672 212747256 283663008 378217344 425494512 567326016 850989024 1134652032 1701978048 3403956096