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3974214640 = 245115697937
BaseRepresentation
bin1110110011100001…
…1011001111110000
3101020222012000120211
43230320123033300
531114344332030
61454205113504
7200325160414
oct35470331760
911228160524
103974214640
11175a382310
1292ab58894
134b4493bc6
14299b60d44
15183d8012a
hexece1b3f0

3974214640 has 80 divisors (see below), whose sum is σ = 10099041120. Its totient is φ = 1442447360.

The previous prime is 3974214631. The next prime is 3974214641. The reversal of 3974214640 is 464124793.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3974214593 and 3974214602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974214641) 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, 496752 + ... + 504688.

It is an arithmetic number, because the mean of its divisors is an integer number (126238014).

Almost surely, 23974214640 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 3974214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049520560).

3974214640 is an abundant number, since it is smaller than the sum of its proper divisors (6124826480).

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

3974214640 is a wasteful number, since it uses less digits than its factorization.

3974214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3974214640 is about 63041.3724469891. The cubic root of 3974214640 is about 1583.9827205373.

The spelling of 3974214640 in words is "three billion, nine hundred seventy-four million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 569 880 1138 2276 2845 4552 5690 6259 7937 9104 11380 12518 15874 22760 25036 31295 31748 39685 45520 50072 62590 63496 79370 87307 100144 125180 126992 158740 174614 250360 317480 349228 436535 500720 634960 698456 873070 1396912 1746140 3492280 4516153 6984560 9032306 18064612 22580765 36129224 45161530 49677683 72258448 90323060 99355366 180646120 198710732 248388415 361292240 397421464 496776830 794842928 993553660 1987107320 3974214640