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3784465344 = 263118321589
BaseRepresentation
bin1110000110010010…
…0101101111000000
3100202202010202111010
43201210211233000
530222310342334
61423310120520
7162532265442
oct34144455700
910682122433
103784465344
111672260910
128974b0140
1348408860a
1427c88a492
1517239d0e9
hexe1925bc0

3784465344 has 112 divisors (see below), whose sum is σ = 11055461760. Its totient is φ = 1132938240.

The previous prime is 3784465331. The next prime is 3784465417. The reversal of 3784465344 is 4435644873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3784465293 and 3784465302.

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, 164502 + ... + 186090.

It is an arithmetic number, because the mean of its divisors is an integer number (98709480).

Almost surely, 23784465344 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 3784465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527730880).

3784465344 is an abundant number, since it is smaller than the sum of its proper divisors (7270996416).

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

3784465344 is a wasteful number, since it uses less digits than its factorization.

3784465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21698 (or 21688 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 48.

The square root of 3784465344 is about 61518.0082902560. The cubic root of 3784465344 is about 1558.3613826275.

The spelling of 3784465344 in words is "three billion, seven hundred eighty-four million, four hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2656 2739 3652 3984 5312 5478 7304 7968 10956 14608 15936 21589 21912 29216 43178 43824 58432 64767 86356 87648 129534 172712 175296 237479 259068 345424 474958 518136 690848 712437 949916 1036272 1381696 1424874 1791887 1899832 2072544 2849748 3583774 3799664 4145088 5375661 5699496 7167548 7599328 10751322 11398992 14335096 15198656 19710757 21502644 22797984 28670192 39421514 43005288 45595968 57340384 59132271 78843028 86010576 114680768 118264542 157686056 172021152 236529084 315372112 344042304 473058168 630744224 946116336 1261488448 1892232672 3784465344