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3934202076 = 22357619479
BaseRepresentation
bin1110101001111111…
…0010100011011100
3101011011220011200000
43222133302203130
531024123431301
61450215334300
7166331110620
oct35237624334
911134804600
103934202076
111739833282
12919681390
134a90c472c
14294707180
151805c9786
hexea7f28dc

3934202076 has 144 divisors (see below), whose sum is σ = 11980899840. Its totient is φ = 1105513920.

The previous prime is 3934202071. The next prime is 3934202081. The reversal of 3934202076 is 6702024393.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3934202071) and next prime (3934202081).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3934202076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934202071) 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 47 ways as a sum of consecutive naturals, for example, 410305 + ... + 419783.

Almost surely, 23934202076 is an apocalyptic number.

3934202076 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 3934202076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990449920).

3934202076 is an abundant number, since it is smaller than the sum of its proper divisors (8046697764).

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

3934202076 is a wasteful number, since it uses less digits than its factorization.

3934202076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3934202076 is about 62723.2179978037. The cubic root of 3934202076 is about 1578.6489112157.

The spelling of 3934202076 in words is "three billion, nine hundred thirty-four million, two hundred two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 243 244 252 324 366 378 427 486 549 567 732 756 854 972 1098 1134 1281 1647 1701 1708 2196 2268 2562 3294 3402 3843 4941 5124 6588 6804 7686 9479 9882 11529 14823 15372 18958 19764 23058 28437 29646 34587 37916 46116 56874 59292 66353 69174 85311 103761 113748 132706 138348 170622 199059 207522 255933 265412 341244 398118 415044 511866 578219 597177 767799 796236 1023732 1156438 1194354 1535598 1734657 1791531 2303397 2312876 2388708 3071196 3469314 3583062 4047533 4606794 5203971 5374593 6938628 7166124 8095066 9213588 10407942 10749186 12142599 15611913 16123779 16190132 20815884 21498372 24285198 31223826 32247558 36427797 46835739 48570396 62447652 64495116 72855594 93671478 109283391 140507217 145711188 187342956 218566782 281014434 327850173 437133564 562028868 655700346 983550519 1311400692 1967101038 3934202076