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4001530340 = 22519233531297
BaseRepresentation
bin1110111010000010…
…1000000111100100
3101022212120210200102
43232200220013210
531143342432330
61501022403232
7201106306133
oct35640500744
911285523612
104001530340
111773839a75
12938130518
134ba039142
1429d63191a
15186478945
hexee8281e4

4001530340 has 96 divisors (see below), whose sum is σ = 9263358720. Its totient is φ = 1445216256.

The previous prime is 4001530331. The next prime is 4001530361. The reversal of 4001530340 is 430351004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3084572 + ... + 3085868.

It is an arithmetic number, because the mean of its divisors is an integer number (96493320).

Almost surely, 24001530340 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 4001530340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631679360).

4001530340 is an abundant number, since it is smaller than the sum of its proper divisors (5261828380).

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

4001530340 is a wasteful number, since it uses less digits than its factorization.

4001530340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4001530340 is about 63257.6504464085. The cubic root of 4001530340 is about 1587.6034647675.

Adding to 4001530340 its reverse (430351004), we get a palindrome (4431881344).

The spelling of 4001530340 in words is "four billion, one million, five hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 353 380 437 460 706 874 1297 1412 1748 1765 2185 2594 3530 4370 5188 6485 6707 7060 8119 8740 12970 13414 16238 24643 25940 26828 29831 32476 33535 40595 49286 59662 67070 81190 98572 119324 123215 134140 149155 154261 162380 246430 298310 308522 457841 492860 566789 596620 617044 771305 915682 1133578 1542610 1831364 2267156 2289205 2833945 3085220 4578410 5667890 8698979 9156820 10530343 11335780 17397958 21060686 34795916 42121372 43494895 52651715 86989790 105303430 173979580 200076517 210606860 400153034 800306068 1000382585 2000765170 4001530340