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4045318344 = 2332293375749
BaseRepresentation
bin1111000100011110…
…1010100011001000
3101102220222110112100
43301013222203020
531241100141334
61505225113400
7202150432014
oct36107524310
911386873470
104045318344
111796527601
1294a928860
134c612abc2
142a538d544
1518a227c99
hexf11ea8c8

4045318344 has 96 divisors (see below), whose sum is σ = 11369475000. Its totient is φ = 1297852416.

The previous prime is 4045318279. The next prime is 4045318349. The reversal of 4045318344 is 4438135404.

4045318344 is a `hidden beast` number, since 4 + 0 + 4 + 531 + 83 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1852269444 + 2193048900 = 43038^2 + 46830^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4045318299 and 4045318308.

It is not an unprimeable number, because it can be changed into a prime (4045318349) 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, 700782 + ... + 706530.

Almost surely, 24045318344 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 4045318344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684737500).

4045318344 is an abundant number, since it is smaller than the sum of its proper divisors (7324156656).

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

4045318344 is a wasteful number, since it uses less digits than its factorization.

4045318344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4045318344 is about 63602.8171074206. The cubic root of 4045318344 is about 1593.3734191969.

The spelling of 4045318344 in words is "four billion, forty-five million, three hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 337 348 522 674 696 1011 1044 1348 2022 2088 2696 3033 4044 5749 6066 8088 9773 11498 12132 17247 19546 22996 24264 29319 34494 39092 45992 51741 58638 68988 78184 87957 103482 117276 137976 166721 175914 206964 234552 333442 351828 413928 500163 666884 703656 1000326 1333768 1500489 1937413 2000652 3000978 3874826 4001304 5812239 6001956 7749652 11624478 12003912 15499304 17436717 23248956 34873434 46497912 56184977 69746868 112369954 139493736 168554931 224739908 337109862 449479816 505664793 674219724 1011329586 1348439448 2022659172 4045318344