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3382144376 = 23131311631523
BaseRepresentation
bin1100100110010111…
…0110110101111000
322201201002201212112
43021211312311320
523411312110001
61315335031452
7146545516142
oct31145666570
98651081775
103382144376
111486150146
127a480b588
1341b913780
1424127dc92
1514bdcbcbb
hexc9976d78

3382144376 has 64 divisors (see below), whose sum is σ = 6928225920. Its totient is φ = 1538559360.

The previous prime is 3382144369. The next prime is 3382144387. The reversal of 3382144376 is 6734412833.

It is a super-2 number, since 2×33821443762 = 22877801160216858752, which contains 22 as substring.

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, 2219951 + ... + 2221473.

It is an arithmetic number, because the mean of its divisors is an integer number (108253530).

Almost surely, 23382144376 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 3382144376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464112960).

3382144376 is an abundant number, since it is smaller than the sum of its proper divisors (3546081544).

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

3382144376 is a wasteful number, since it uses less digits than its factorization.

3382144376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1832 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 3382144376 is about 58156.2066850994. The cubic root of 3382144376 is about 1501.0576801073.

The spelling of 3382144376 in words is "three billion, three hundred eighty-two million, one hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 131 163 262 326 524 652 1048 1304 1523 1703 2119 3046 3406 4238 6092 6812 8476 12184 13624 16952 19799 21353 39598 42706 79196 85412 158392 170824 199513 248249 277589 399026 496498 555178 798052 992996 1110356 1596104 1985992 2220712 2593669 3227237 5187338 6454474 10374676 12908948 20749352 25817896 32520619 65041238 130082476 260164952 422768047 845536094 1691072188 3382144376