Search a number
-
+
397943374770 = 23451741704861
BaseRepresentation
bin1011100101001110100…
…01100000001110110010
31102001011100122222120000
411302213101200032302
523004442000443040
6502451311330430
740515256606044
oct5624721401662
91361140588500
10397943374770
1114384872a427
126515a520a16
132b6ab529136
1415390da7a94
15a54109d130
hex5ca74603b2

397943374770 has 160 divisors (see below), whose sum is σ = 1160603213616. Its totient is φ = 97439846400.

The previous prime is 397943374739. The next prime is 397943374837. The reversal of 397943374770 is 77473349793.

397943374770 is a `hidden beast` number, since 3 + 97 + 9 + 43 + 37 + 477 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 160898056641 + 237045318129 = 401121^2 + 486873^2 .

It is a junction number, because it is equal to n+sod(n) for n = 397943374698 and 397943374707.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212140 + ... + 917000.

Almost surely, 2397943374770 is an apocalyptic number.

397943374770 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 397943374770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580301606808).

397943374770 is an abundant number, since it is smaller than the sum of its proper divisors (762659838846).

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

397943374770 is a wasteful number, since it uses less digits than its factorization.

397943374770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704938 (or 704929 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 63.

The spelling of 397943374770 in words is "three hundred ninety-seven billion, nine hundred forty-three million, three hundred seventy-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 41 45 51 54 81 82 85 90 102 123 135 153 162 170 205 246 255 270 306 369 405 410 459 510 615 697 738 765 810 918 1107 1230 1377 1394 1530 1845 2091 2214 2295 2754 3321 3485 3690 4182 4590 5535 6273 6642 6885 6970 10455 11070 12546 13770 16605 18819 20910 31365 33210 37638 56457 62730 94095 112914 188190 282285 564570 704861 1409722 2114583 3524305 4229166 6343749 7048610 10572915 11982637 12687498 19031247 21145830 23965274 28899301 31718745 35947911 38062494 57093741 57798602 59913185 63437490 71895822 86697903 95156235 107843733 114187482 119826370 144496505 173395806 179739555 190312470 215687466 260093709 285468705 288993010 323531199 359479110 433489515 491288117 520187418 539218665 570937410 647062398 780281127 866979030 970593597 982576234 1078437330 1300468545 1473864351 1560562254 1617655995 1941187194 2340843381 2456440585 2600937090 2947728702 3235311990 3901405635 4421593053 4681686762 4852967985 4912881170 7369321755 7802811270 8843186106 9705935970 11704216905 13264779159 14738643510 22107965265 23408433810 26529558318 39794337477 44215930530 66323895795 79588674954 132647791590 198971687385 397943374770