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349504999480 = 2357133568153
BaseRepresentation
bin1010001011000000001…
…11110001000000111000
31020102010121022120022101
411011200013301000320
521211241234440410
6424321013033144
734152026323030
oct5054007610070
91212117276271
10349504999480
1112525150810a
12578a06257b4
1326c5c177000
1412cb7c1c8c0
159158876d3a
hex51601f1038

349504999480 has 128 divisors (see below), whose sum is σ = 973588694400. Its totient is φ = 110612376576.

The previous prime is 349504999453. The next prime is 349504999483. The reversal of 349504999480 is 84999405943.

It is a super-3 number, since 3×3495049994803 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349504999483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331084 + ... + 899236.

It is an arithmetic number, because the mean of its divisors is an integer number (7606161675).

Almost surely, 2349504999480 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 349504999480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486794347200).

349504999480 is an abundant number, since it is smaller than the sum of its proper divisors (624083694920).

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

349504999480 is a wasteful number, since it uses less digits than its factorization.

349504999480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568210 (or 568180 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 349504999480 in words is "three hundred forty-nine billion, five hundred four million, nine hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2197 2366 3380 3640 4394 4732 5915 6760 8788 9464 10985 11830 15379 17576 21970 23660 30758 43940 47320 61516 76895 87880 123032 153790 307580 568153 615160 1136306 2272612 2840765 3977071 4545224 5681530 7385989 7954142 11363060 14771978 15908284 19885355 22726120 29543956 31816568 36929945 39770710 51701923 59087912 73859890 79541420 96017857 103403846 147719780 159082840 192035714 206807692 258509615 295439560 384071428 413615384 480089285 517019230 672124999 768142856 960178570 1034038460 1248232141 1344249998 1920357140 2068076920 2496464282 2688499996 3360624995 3840714280 4992928564 5376999992 6241160705 6721249990 8737624987 9985857128 12482321410 13442499980 17475249974 24964642820 26884999960 34950499948 43688124935 49929285640 69900999896 87376249870 174752499740 349504999480