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345234473472 = 2937139230999
BaseRepresentation
bin1010000011000011001…
…01000000001000000000
31020000002222120100221110
411001201211000020000
521124020011122342
6422333140523320
733641142414630
oct5014145001000
91200088510843
10345234473472
1112345a950779
1256aaa3b0540
132672b4a7245
14129d09a86c0
158ea89b5c9c
hex5061940200

345234473472 has 160 divisors (see below), whose sum is σ = 1058682240000. Its totient is φ = 97928368128.

The previous prime is 345234473471. The next prime is 345234473491. The reversal of 345234473472 is 274374432543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345234473471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1379029 + ... + 1610027.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764000).

Almost surely, 2345234473472 is an apocalyptic number.

345234473472 is a gapful number since it is divisible by the number (32) 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 345234473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529341120000).

345234473472 is an abundant number, since it is smaller than the sum of its proper divisors (713447766528).

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

345234473472 is a wasteful number, since it uses less digits than its factorization.

345234473472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231166 (or 231150 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 48.

The spelling of 345234473472 in words is "three hundred forty-five billion, two hundred thirty-four million, four hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 256 278 336 384 417 448 512 556 672 768 834 896 973 1112 1344 1536 1668 1792 1946 2224 2688 2919 3336 3584 3892 4448 5376 5838 6672 7784 8896 10752 11676 13344 15568 17792 23352 26688 31136 35584 46704 53376 62272 71168 93408 106752 124544 186816 213504 230999 249088 373632 461998 498176 692997 747264 923996 1385994 1494528 1616993 1847992 2771988 3233986 3695984 4850979 5543976 6467972 7391968 9701958 11087952 12935944 14783936 19403916 22175904 25871888 29567872 32108861 38807832 44351808 51743776 59135744 64217722 77615664 88703616 96326583 103487552 118271488 128435444 155231328 177407232 192653166 206975104 224762027 256870888 310462656 354814464 385306332 413950208 449524054 513741776 620925312 674286081 770612664 827900416 899048108 1027483552 1241850624 1348572162 1541225328 1798096216 2054967104 2483701248 2697144324 3082450656 3596192432 4109934208 5394288648 6164901312 7192384864 8219868416 10788577296 12329802624 14384769728 16439736832 21577154592 24659605248 28769539456 43154309184 49319210496 57539078912 86308618368 115078157824 172617236736 345234473472