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2380163652 = 2232419371721
BaseRepresentation
bin1000110111011110…
…0110101001000100
320010212200211201100
42031313212221010
514333310214102
61032103100100
7112661025426
oct21567465104
96125624640
102380163652
1110115a41a9
12565141630
132bc161b79
14188178816
15dde58a1c
hex8dde6a44

2380163652 has 72 divisors (see below), whose sum is σ = 6173431992. Its totient is φ = 772761600.

The previous prime is 2380163647. The next prime is 2380163657. The reversal of 2380163652 is 2563610832.

It is a happy number.

2380163652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2380163647) and next prime (2380163657).

It can be written as a sum of positive squares in 4 ways, for example, as 4186116 + 2375977536 = 2046^2 + 48744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2380163657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382152 + ... + 1383872.

It is an arithmetic number, because the mean of its divisors is an integer number (85742111).

Almost surely, 22380163652 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 2380163652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086715996).

2380163652 is an abundant number, since it is smaller than the sum of its proper divisors (3793268340).

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

2380163652 is a wasteful number, since it uses less digits than its factorization.

2380163652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2380163652 is about 48786.9209112442. The cubic root of 2380163652 is about 1335.1670505935.

The spelling of 2380163652 in words is "two billion, three hundred eighty million, one hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 937 1476 1721 1874 2811 3442 3748 5163 5622 6884 8433 10326 11244 15489 16866 20652 30978 33732 38417 61956 70561 76834 115251 141122 153668 211683 230502 282244 345753 423366 461004 635049 691506 846732 1270098 1383012 1612577 2540196 3225154 4837731 6450308 9675462 14513193 19350924 29026386 58052772 66115657 132231314 198346971 264462628 396693942 595040913 793387884 1190081826 2380163652