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3823748376 = 233739757331
BaseRepresentation
bin1110001111101001…
…1100010100011000
3100212111001112200020
43203322130110120
530312334422001
61431232110440
7163520216310
oct34372342430
910774045606
103823748376
111692451828
128a8695420
1348c260a06
14283b94440
15175a5c736
hexe3e9c518

3823748376 has 64 divisors (see below), whose sum is σ = 10952705280. Its totient is φ = 1089728640.

The previous prime is 3823748371. The next prime is 3823748393. The reversal of 3823748376 is 6738473283.

3823748376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3823748371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38031 + ... + 95361.

It is an arithmetic number, because the mean of its divisors is an integer number (171136020).

Almost surely, 23823748376 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 3823748376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476352640).

3823748376 is an abundant number, since it is smaller than the sum of its proper divisors (7128956904).

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

3823748376 is a wasteful number, since it uses less digits than its factorization.

3823748376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57744 (or 57740 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 3823748376 is about 61836.4647760526. The cubic root of 3823748376 is about 1563.7348021815.

The spelling of 3823748376 in words is "three billion, eight hundred twenty-three million, seven hundred forty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1588 2382 2779 3176 4764 5558 8337 9528 11116 16674 22232 33348 57331 66696 114662 171993 229324 343986 401317 458648 687972 802634 1203951 1375944 1605268 2407902 3210536 4815804 9631608 22760407 45520814 68281221 91041628 136562442 159322849 182083256 273124884 318645698 477968547 546249768 637291396 955937094 1274582792 1911874188 3823748376