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3780000432 = 243413224359
BaseRepresentation
bin1110000101001110…
…0011101010110000
3100202102201220210000
43201103203222300
530220140003212
61423030310000
7162446321265
oct34123435260
910672656700
103780000432
11166a7912aa
12895ab8300
13483184260
1427c04726c
15171cba1dc
hexe14e3ab0

3780000432 has 100 divisors (see below), whose sum is σ = 11782041040. Its totient is φ = 1163071872.

The previous prime is 3780000421. The next prime is 3780000437. The reversal of 3780000432 is 2340000873.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3780000396 and 3780000405.

It is not an unprimeable number, because it can be changed into a prime (3780000437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95332 + ... + 129027.

Almost surely, 23780000432 is an apocalyptic number.

It is an amenable number.

3780000432 is an abundant number, since it is smaller than the sum of its proper divisors (8002040608).

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

3780000432 is a wasteful number, since it uses less digits than its factorization.

3780000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224392 (or 224377 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3780000432 is about 61481.7081089978. The cubic root of 3780000432 is about 1557.7482898981.

The spelling of 3780000432 in words is "three billion, seven hundred eighty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 224359 448718 673077 897436 1346154 1794872 2019231 2692308 2916667 3589744 4038462 5384616 5833334 6057693 8076924 8750001 10769232 11666668 12115386 16153848 17500002 18173079 23333336 24230772 26250003 32307696 35000004 36346158 46666672 48461544 52500006 70000008 72692316 78750009 96923088 105000012 140000016 145384632 157500018 210000024 236250027 290769264 315000036 420000048 472500054 630000072 945000108 1260000144 1890000216 3780000432