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4278034432 = 2137611223
BaseRepresentation
bin1111111011111101…
…1010000000000000
3102001010212122222201
43332333122000000
532230134100212
61544301042544
7211004456410
oct37677320000
912033778881
104278034432
1118a5925651
129b4856454
135323cb529
142c824a640
151a0895b57
hexfefda000

4278034432 has 112 divisors (see below), whose sum is σ = 9946184832. Its totient is φ = 1801912320.

The previous prime is 4278034421. The next prime is 4278034447. The reversal of 4278034432 is 2344308724.

4278034432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4278034391 and 4278034400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3497373 + ... + 3498595.

Almost surely, 24278034432 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 4278034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973092416).

4278034432 is an abundant number, since it is smaller than the sum of its proper divisors (5668150400).

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

4278034432 is an equidigital number, since it uses as much as digits as its factorization.

4278034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The square root of 4278034432 is about 65406.6849182864. The cubic root of 4278034432 is about 1623.3596932175.

The spelling of 4278034432 in words is "four billion, two hundred seventy-eight million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 512 854 896 976 1024 1223 1708 1792 1952 2048 2446 3416 3584 3904 4096 4892 6832 7168 7808 8192 8561 9784 13664 14336 15616 17122 19568 27328 28672 31232 34244 39136 54656 57344 62464 68488 74603 78272 109312 124928 136976 149206 156544 218624 249856 273952 298412 313088 437248 499712 522221 547904 596824 626176 874496 1044442 1095808 1193648 1252352 1748992 2088884 2191616 2387296 2504704 3497984 4177768 4383232 4774592 5009408 8355536 8766464 9549184 10018816 16711072 17532928 19098368 33422144 35065856 38196736 66844288 70131712 76393472 133688576 152786944 267377152 305573888 534754304 611147776 1069508608 2139017216 4278034432