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2380541436 = 2232713255897
BaseRepresentation
bin1000110111100100…
…0010110111111100
320010220102000221100
42031321002313330
514333404311221
61032115133100
7112664161020
oct21571026774
96126360840
102380541436
111011832019
125652a4190
132bc264b00
14188236380
15dded0926
hex8de42dfc

2380541436 has 108 divisors (see below), whose sum is σ = 7446955152. Its totient is φ = 627823872.

The previous prime is 2380541431. The next prime is 2380541453. The reversal of 2380541436 is 6341450832.

2380541436 is a `hidden beast` number, since 2 + 3 + 80 + 541 + 4 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2380541436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380541431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14640 + ... + 70536.

Almost surely, 22380541436 is an apocalyptic number.

2380541436 is a gapful number since it is divisible by the number (26) 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 2380541436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723477576).

2380541436 is an abundant number, since it is smaller than the sum of its proper divisors (5066413716).

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

2380541436 is a wasteful number, since it uses less digits than its factorization.

2380541436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55940 (or 55922 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2380541436 is about 48790.7925330179. The cubic root of 2380541436 is about 1335.2376869220.

The spelling of 2380541436 in words is "two billion, three hundred eighty million, five hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 7098 10647 14196 21294 42588 55897 111794 167691 223588 335382 391279 503073 670764 726661 782558 1006146 1173837 1453322 1565116 2012292 2179983 2347674 2906644 3521511 4359966 4695348 5086627 6539949 7043022 8719932 9446593 10173254 13079898 14086044 15259881 18893186 20346508 26159796 28339779 30519762 37786372 45779643 56679558 61039524 66126151 85019337 91559286 113359116 132252302 170038674 183118572 198378453 264504604 340077348 396756906 595135359 793513812 1190270718 2380541436