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3812378832 = 243361714303
BaseRepresentation
bin1110001100111100…
…0100100011010000
3100211200122220121000
43203033010203100
530301432110312
61430144302000
7163321454043
oct34317044320
910750586530
103812378832
111686a96709
128a4911900
13489aac982
14282474c5a
15174a63adc
hexe33c48d0

3812378832 has 80 divisors (see below), whose sum is σ = 10961441280. Its totient is φ = 1268644608.

The previous prime is 3812378827. The next prime is 3812378849. The reversal of 3812378832 is 2388732183.

3812378832 is a `hidden beast` number, since 381 + 237 + 8 + 8 + 32 = 666.

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, 259393 + ... + 273695.

It is an arithmetic number, because the mean of its divisors is an integer number (137018016).

Almost surely, 23812378832 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 3812378832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480720640).

3812378832 is an abundant number, since it is smaller than the sum of its proper divisors (7149062448).

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

3812378832 is a wasteful number, since it uses less digits than its factorization.

3812378832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14937 (or 14925 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3812378832 is about 61744.4639785625. The cubic root of 3812378832 is about 1562.1833923796.

The spelling of 3812378832 in words is "three billion, eight hundred twelve million, three hundred seventy-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 617 1234 1851 2468 3702 4936 5553 7404 9872 11106 14303 14808 16659 22212 28606 29616 33318 42909 44424 57212 66636 85818 88848 114424 128727 133272 171636 228848 257454 266544 343272 386181 514908 686544 772362 1029816 1544724 2059632 3089448 6178896 8824951 17649902 26474853 35299804 52949706 70599608 79424559 105899412 141199216 158849118 211798824 238273677 317698236 423597648 476547354 635396472 953094708 1270792944 1906189416 3812378832