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3996434200 = 23521111291609
BaseRepresentation
bin1110111000110100…
…1011111100011000
3101022111222220002111
43232031023330120
531141041343300
61500321242104
7201015062443
oct35615137430
911274886074
103996434200
111770979190
12936493334
134b8c73685
1429caa665a
15185cbd9ba
hexee34bf18

3996434200 has 96 divisors (see below), whose sum is σ = 10151694000. Its totient is φ = 1451059200.

The previous prime is 3996434191. The next prime is 3996434201. The reversal of 3996434200 is 24346993.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996434201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2482996 + ... + 2484604.

Almost surely, 23996434200 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 3996434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075847000).

3996434200 is an abundant number, since it is smaller than the sum of its proper divisors (6155259800).

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

3996434200 is a wasteful number, since it uses less digits than its factorization.

3996434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 3996434200 is about 63217.3567938426. The cubic root of 3996434200 is about 1586.9292155116.

The spelling of 3996434200 in words is "three billion, nine hundred ninety-six million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1129 1609 2200 2258 3218 4516 5645 6436 8045 9032 11290 12419 12872 16090 17699 22580 24838 28225 32180 35398 40225 45160 49676 56450 62095 64360 70796 80450 88495 99352 112900 124190 141592 160900 176990 225800 248380 310475 321800 353980 442475 496760 620950 707960 884950 1241900 1769900 1816561 2483800 3539800 3633122 7266244 9082805 14532488 18165610 19982171 36331220 39964342 45414025 72662440 79928684 90828050 99910855 159857368 181656100 199821710 363312200 399643420 499554275 799286840 999108550 1998217100 3996434200