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3145240530 = 234529257521
BaseRepresentation
bin1011101101111000…
…1000111111010010
322010012022202220000
42323132020333102
522420140144110
61240033230430
7140641050315
oct27336107722
98105282800
103145240530
111374451843
12739402416
133b1807c93
1421ba1297c
151361d31c0
hexbb788fd2

3145240530 has 160 divisors (see below), whose sum is σ = 8799729840. Its totient is φ = 805109760.

The previous prime is 3145240477. The next prime is 3145240541. The reversal of 3145240530 is 350425413.

It can be written as a sum of positive squares in 8 ways, for example, as 2071433169 + 1073807361 = 45513^2 + 32769^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3145240494 and 3145240503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6036670 + ... + 6037190.

Almost surely, 23145240530 is an apocalyptic number.

3145240530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145240530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399864920).

3145240530 is an abundant number, since it is smaller than the sum of its proper divisors (5654489310).

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

3145240530 is a wasteful number, since it uses less digits than its factorization.

3145240530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3145240530 is about 56082.4440444601. Note that the first 3 decimals coincide. The cubic root of 3145240530 is about 1465.1585410859.

Adding to 3145240530 its reverse (350425413), we get a palindrome (3495665943).

The spelling of 3145240530 in words is "three billion, one hundred forty-five million, two hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 257 261 270 290 405 435 514 521 522 771 783 810 870 1042 1285 1305 1542 1563 1566 2313 2349 2570 2605 2610 3126 3855 3915 4626 4689 4698 5210 6939 7453 7710 7815 7830 9378 11565 11745 13878 14067 14906 15109 15630 20817 22359 23130 23445 23490 28134 30218 34695 37265 41634 42201 44718 45327 46890 67077 69390 70335 74530 75545 84402 90654 104085 111795 133897 134154 135981 140670 151090 201231 208170 211005 223590 226635 267794 271962 335385 401691 402462 407943 422010 453270 603693 669485 670770 679905 803382 815886 1006155 1205073 1207386 1223829 1338970 1359810 2008455 2012310 2039715 2410146 2447658 3018465 3615219 3883013 4016910 4079430 6025365 6036930 6119145 7230438 7766026 10845657 11649039 12050730 12238290 18076095 19415065 21691314 23298078 34947117 36152190 38830130 54228285 58245195 69894234 104841351 108456570 116490390 174735585 209682702 314524053 349471170 524206755 629048106 1048413510 1572620265 3145240530