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3534045240 = 2335115874561
BaseRepresentation
bin1101001010100101…
…0100000000111000
3100010021221002200110
43102221110000320
524214203421430
61342402504320
7153401613615
oct32251240070
910107832613
103534045240
111553970550
128276650a0
1344422993b
1425750150c
1515a3d47b0
hexd2a54038

3534045240 has 128 divisors (see below), whose sum is σ = 11588209920. Its totient is φ = 855091200.

The previous prime is 3534045233. The next prime is 3534045253. The reversal of 3534045240 is 425404353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3534045198 and 3534045207.

It is a congruent number.

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, 772560 + ... + 777120.

It is an arithmetic number, because the mean of its divisors is an integer number (90532890).

Almost surely, 23534045240 is an apocalyptic number.

3534045240 is a gapful number since it is divisible by the number (30) 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 3534045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794104960).

3534045240 is an abundant number, since it is smaller than the sum of its proper divisors (8054164680).

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

3534045240 is a wasteful number, since it uses less digits than its factorization.

3534045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3534045240 is about 59447.8362936785. The cubic root of 3534045240 is about 1523.2015333600.

Adding to 3534045240 its reverse (425404353), we get a palindrome (3959449593).

The spelling of 3534045240 in words is "three billion, five hundred thirty-four million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 587 660 1174 1320 1761 2348 2935 3522 4561 4696 5870 6457 7044 8805 9122 11740 12914 13683 14088 17610 18244 19371 22805 23480 25828 27366 32285 35220 36488 38742 45610 50171 51656 54732 64570 68415 70440 77484 91220 96855 100342 109464 129140 136830 150513 154968 182440 193710 200684 250855 258280 273660 301026 387420 401368 501710 547320 602052 752565 774840 1003420 1204104 1505130 2006840 2677307 3010260 5354614 6020520 8031921 10709228 13386535 16063842 21418456 26773070 29450377 32127684 40159605 53546140 58900754 64255368 80319210 88351131 107092280 117801508 147251885 160638420 176702262 235603016 294503770 321276840 353404524 441755655 589007540 706809048 883511310 1178015080 1767022620 3534045240