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3496755640 = 235723734783
BaseRepresentation
bin1101000001101100…
…0100000110111000
3100000200202120222011
43100123010012320
524130132140030
61334551335304
7152436634600
oct32033040670
910020676864
103496755640
1115349112a4
12817081534
134395a19a1
14252595c00
15156ebab2a
hexd06c41b8

3496755640 has 96 divisors (see below), whose sum is σ = 9178678080. Its totient is φ = 1195423488.

The previous prime is 3496755623. The next prime is 3496755671. The reversal of 3496755640 is 465576943.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728689 + ... + 733471.

It is an arithmetic number, because the mean of its divisors is an integer number (95611230).

Almost surely, 23496755640 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 3496755640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589339040).

3496755640 is an abundant number, since it is smaller than the sum of its proper divisors (5681922440).

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

3496755640 is a wasteful number, since it uses less digits than its factorization.

3496755640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The square root of 3496755640 is about 59133.3716271954. The cubic root of 3496755640 is about 1517.8252081551.

The spelling of 3496755640 in words is "three billion, four hundred ninety-six million, seven hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 373 392 490 746 980 1492 1865 1960 2611 2984 3730 4783 5222 7460 9566 10444 13055 14920 18277 19132 20888 23915 26110 33481 36554 38264 47830 52220 66962 73108 91385 95660 104440 133924 146216 167405 182770 191320 234367 267848 334810 365540 468734 669620 731080 937468 1171835 1339240 1784059 1874936 2343670 3568118 4687340 7136236 8920295 9374680 12488413 14272472 17840590 24976826 35681180 49953652 62442065 71362360 87418891 99907304 124884130 174837782 249768260 349675564 437094455 499536520 699351128 874188910 1748377820 3496755640