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3040312520 = 235715171909
BaseRepresentation
bin1011010100110111…
…0111110011001000
321211212212212201102
42311031313303020
522211310000040
61221404240532
7135225141620
oct26515676310
97755785642
103040312520
1113201a4883
1270a240148
13395b5a3bb
1420badb880
1512bda8515
hexb5377cc8

3040312520 has 64 divisors (see below), whose sum is σ = 7869830400. Its totient is φ = 1035475200.

The previous prime is 3040312489. The next prime is 3040312579. The reversal of 3040312520 is 252130403.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3040312492 and 3040312501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6326 + ... + 78234.

It is an arithmetic number, because the mean of its divisors is an integer number (122966100).

Almost surely, 23040312520 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 3040312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934915200).

3040312520 is an abundant number, since it is smaller than the sum of its proper divisors (4829517880).

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

3040312520 is a wasteful number, since it uses less digits than its factorization.

3040312520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72078 (or 72074 counting only the distinct ones).

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

The square root of 3040312520 is about 55139.0290084981. The cubic root of 3040312520 is about 1448.6809280236.

Adding to 3040312520 its reverse (252130403), we get a palindrome (3292442923).

The spelling of 3040312520 in words is "three billion, forty million, three hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 6040 8456 10570 21140 42280 71909 143818 287636 359545 503363 575272 719090 1006726 1438180 2013452 2516815 2876360 4026904 5033630 10067260 10858259 20134520 21716518 43433036 54291295 76007813 86866072 108582590 152015626 217165180 304031252 380039065 434330360 608062504 760078130 1520156260 3040312520