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3974976 = 263267103
BaseRepresentation
bin1111001010011101000000
321110221122100
433022131000
52004144401
6221110400
745533565
oct17123500
97427570
103974976
112275505
1213b8400
13a92375
1475686c
15537b86
hex3ca740

3974976 has 84 divisors (see below), whose sum is σ = 11675872. Its totient is φ = 1292544.

The previous prime is 3974969. The next prime is 3974981. The reversal of 3974976 is 6794793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38541 + ... + 38643.

Almost surely, 23974976 is an apocalyptic number.

3974976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837936).

3974976 is an abundant number, since it is smaller than the sum of its proper divisors (7700896).

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

3974976 is a wasteful number, since it uses less digits than its factorization.

3974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 3974976 is about 1993.7341848903. The cubic root of 3974976 is about 158.4083864553.

It can be divided in two parts, 3974 and 976, that added together give a triangular number (4950 = T99).

The spelling of 3974976 in words is "three million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 103 134 144 192 201 206 268 288 309 402 412 536 576 603 618 804 824 927 1072 1206 1236 1608 1648 1854 2144 2412 2472 3216 3296 3708 4288 4824 4944 6432 6592 6901 7416 9648 9888 12864 13802 14832 19296 19776 20703 27604 29664 38592 41406 55208 59328 62109 82812 110416 124218 165624 220832 248436 331248 441664 496872 662496 993744 1324992 1987488 3974976