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3381378390 = 23251321113697
BaseRepresentation
bin1100100110001011…
…1011110101010110
322201122122211010200
43021202323311112
523411113102030
61315310401330
7146536146015
oct31142736526
98648584120
103381378390
1114857776a5
127a4500246
1341b705c20
14241120a7c
1514bcc9d60
hexc98bbd56

3381378390 has 96 divisors (see below), whose sum is σ = 9513425376. Its totient is φ = 828334080.

The previous prime is 3381378389. The next prime is 3381378409. The reversal of 3381378390 is 938731833.

It is a super-2 number, since 2×33813783902 = 22867439632717984200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240022 + ... + 253718.

It is an arithmetic number, because the mean of its divisors is an integer number (99098181).

Almost surely, 23381378390 is an apocalyptic number.

3381378390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381378390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756712688).

3381378390 is an abundant number, since it is smaller than the sum of its proper divisors (6132046986).

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

3381378390 is a wasteful number, since it uses less digits than its factorization.

3381378390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3381378390 is about 58149.6207210331. The cubic root of 3381378390 is about 1500.9443520081.

The spelling of 3381378390 in words is "three billion, three hundred eighty-one million, three hundred seventy-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 211 234 390 422 585 633 1055 1170 1266 1899 2110 2743 3165 3798 5486 6330 8229 9495 13697 13715 16458 18990 24687 27394 27430 41091 41145 49374 68485 82182 82290 123273 123435 136970 178061 205455 246546 246870 356122 410910 534183 616365 890305 1068366 1232730 1602549 1780610 2670915 2890067 3205098 5341830 5780134 8012745 8670201 14450335 16025490 17340402 26010603 28900670 37570871 43351005 52021206 75141742 86702010 112712613 130053015 187854355 225425226 260106030 338137839 375708710 563563065 676275678 1127126130 1690689195 3381378390