Search a number
-
+
34074100373370 = 23531337918775101
BaseRepresentation
bin1111011111101011111101…
…01001100001011101111010
311110122110012122022110010020
413233311332221201131322
513431232224143421440
6200245231533231310
710114525654234311
oct757657651413572
9143573178273106
1034074100373370
11a947821394a12
1239a3957332536
131602235018455
1485b2a3b03278
153e152b3453d0
hex1efd7ea6177a

34074100373370 has 128 divisors (see below), whose sum is σ = 82315530858240. Its totient is φ = 9026915788800.

The previous prime is 34074100373353. The next prime is 34074100373389. The reversal of 34074100373370 is 7337300147043.

It is a super-2 number, since 2×340741003733702 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6679883820 + ... + 6679888920.

It is an arithmetic number, because the mean of its divisors is an integer number (643090084830).

Almost surely, 234074100373370 is an apocalyptic number.

34074100373370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34074100373370 is an abundant number, since it is smaller than the sum of its proper divisors (48241430484870).

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

34074100373370 is a wasteful number, since it uses less digits than its factorization.

34074100373370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680.

The product of its (nonzero) digits is 444528, while the sum is 42.

The spelling of 34074100373370 in words is "thirty-four trillion, seventy-four billion, one hundred million, three hundred seventy-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 313 379 626 758 939 1137 1565 1877 1878 1895 2274 3130 3754 3790 4695 5101 5631 5685 9385 9390 10202 11262 11370 15303 18770 25505 28155 30606 51010 56310 76515 118627 153030 237254 355881 587501 593135 711383 711762 1175002 1186270 1422766 1596613 1762503 1779405 1933279 2134149 2937505 3193226 3525006 3556915 3558810 3866558 4268298 4789839 5799837 5875010 7113830 7983065 8812515 9574577 9579678 9666395 10670745 11599674 15966130 17625030 19149154 19332790 21341490 23949195 28723731 28999185 47872885 47898390 57447462 57998370 95745770 143618655 222662879 287237310 445325758 605116327 667988637 1113314395 1210232654 1335977274 1815348981 2226628790 2996842601 3025581635 3339943185 3628764683 3630697962 5993685202 6051163270 6679886370 7257529366 8990527803 9076744905 10886294049 14984213005 17981055606 18143823415 18153489810 21772588098 29968426010 36287646830 44952639015 54431470245 89905278030 108862940490 1135803345779 2271606691558 3407410037337 5679016728895 6814820074674 11358033457790 17037050186685 34074100373370