Search a number
-
+
3381416780 = 2257412512347
BaseRepresentation
bin1100100110001100…
…0101001101001100
322201122201202210112
43021203011031030
523411120314110
61315311255152
7146536365650
oct31143051514
98648652715
103381416780
1114857a3525
127a451a4b8
1341b71a541
14241130a60
1514bcd6405
hexc98c534c

3381416780 has 96 divisors (see below), whose sum is σ = 8350013952. Its totient is φ = 1126080000.

The previous prime is 3381416771. The next prime is 3381416869. The reversal of 3381416780 is 876141833.

It is a super-2 number, since 2×33814167802 = 22867958880131136800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439567 + ... + 1441913.

It is an arithmetic number, because the mean of its divisors is an integer number (86979312).

Almost surely, 23381416780 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 3381416780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175006976).

3381416780 is an abundant number, since it is smaller than the sum of its proper divisors (4968597172).

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

3381416780 is a wasteful number, since it uses less digits than its factorization.

3381416780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 3381416780 is about 58149.9508168322. The cubic root of 3381416780 is about 1500.9500322395.

The spelling of 3381416780 in words is "three billion, three hundred eighty-one million, four hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 251 287 410 502 574 820 1004 1148 1255 1435 1757 2347 2510 2870 3514 4694 5020 5740 7028 8785 9388 10291 11735 16429 17570 20582 23470 32858 35140 41164 46940 51455 65716 72037 82145 96227 102910 144074 164290 192454 205820 288148 328580 360185 384908 481135 589097 673589 720370 962270 1178194 1347178 1440740 1924540 2356388 2694356 2945485 3367945 4123679 5890970 6735890 8247358 11781940 13471780 16494716 20618395 24152977 41236790 48305954 82473580 96611908 120764885 169070839 241529770 338141678 483059540 676283356 845354195 1690708390 3381416780