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3813076080 = 2433511160483
BaseRepresentation
bin1110001101000110…
…1110110001110000
3100211201222100001000
43203101232301300
530302121413310
61430211242000
7163330416612
oct34321566160
910751870030
103813076080
111687422550
128a4ba9300
13489c95148
142825b6db2
15174b504c0
hexe346ec70

3813076080 has 160 divisors (see below), whose sum is σ = 14328011520. Its totient is φ = 924376320.

The previous prime is 3813076073. The next prime is 3813076093. The reversal of 3813076080 is 806703183.

3813076080 is a `hidden beast` number, since 38 + 13 + 0 + 7 + 608 + 0 = 666.

3813076080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 56482 + ... + 104001.

It is an arithmetic number, because the mean of its divisors is an integer number (89550072).

Almost surely, 23813076080 is an apocalyptic number.

3813076080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3813076080 is an abundant number, since it is smaller than the sum of its proper divisors (10514935440).

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

3813076080 is a wasteful number, since it uses less digits than its factorization.

3813076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160516 (or 160504 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3813076080 is about 61750.1099594163. The cubic root of 3813076080 is about 1562.2786227591.

The spelling of 3813076080 in words is "three billion, eight hundred thirteen million, seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 160483 320966 481449 641932 802415 962898 1283864 1444347 1604830 1765313 1925796 2407245 2567728 2888694 3209660 3530626 3851592 4333041 4814490 5295939 5777388 6419320 7061252 7221735 7703184 8666082 8826565 9628980 10591878 11554776 12838640 14122504 14443470 15887817 17332164 17653130 19257960 21183756 21665205 23109552 26479695 28245008 28886940 31775634 34664328 35306260 38515920 42367512 43330410 47663451 52959390 57773880 63551268 69328656 70612520 79439085 84735024 86660820 95326902 105918780 115547760 127102536 141225040 158878170 173321640 190653804 211837560 238317255 254205072 317756340 346643280 381307608 423675120 476634510 635512680 762615216 953269020 1271025360 1906538040 3813076080