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34374317500 = 2254113271449
BaseRepresentation
bin100000000000110111…
…100111010110111100
310021201121100020220101
4200000313213112330
51030344311130000
623442532530444
72324553610045
oct400067472674
9107647306811
1034374317500
111363a451566
1267b3a80a24
13331a705353
1419413998cc
15d62b8ce6a
hex800de75bc

34374317500 has 120 divisors (see below), whose sum is σ = 76284331200. Its totient is φ = 13547520000.

The previous prime is 34374317473. The next prime is 34374317503. The reversal of 34374317500 is 571347343.

It is a self number, because there is not a number n which added to its sum of digits gives 34374317500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374317503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76557276 + ... + 76557724.

It is an arithmetic number, because the mean of its divisors is an integer number (635702760).

Almost surely, 234374317500 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 34374317500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38142165600).

34374317500 is an abundant number, since it is smaller than the sum of its proper divisors (41910013700).

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

34374317500 is a wasteful number, since it uses less digits than its factorization.

34374317500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The spelling of 34374317500 in words is "thirty-four billion, three hundred seventy-four million, three hundred seventeen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 271 449 452 500 542 565 625 898 1084 1130 1250 1355 1796 2245 2260 2500 2710 2825 4490 5420 5650 6775 8980 11225 11300 13550 14125 22450 27100 28250 30623 33875 44900 50737 56125 56500 61246 67750 70625 101474 112250 121679 122492 135500 141250 153115 169375 202948 224500 243358 253685 280625 282500 306230 338750 486716 507370 561250 608395 612460 677500 765575 1014740 1122500 1216790 1268425 1531150 2433580 2536850 3041975 3062300 3827875 5073700 6083950 6342125 7655750 12167900 12684250 13749727 15209875 15311500 19139375 25368500 27499454 30419750 31710625 38278750 54998908 60839500 63421250 68748635 76049375 76557500 126842500 137497270 152098750 274994540 304197500 343743175 687486350 1374972700 1718715875 3437431750 6874863500 8593579375 17187158750 34374317500