Search a number
-
+
34100100677670 = 2351974380517817
BaseRepresentation
bin1111100000011100011000…
…11000110100000000100110
311110201221022122110202110120
413300032030120310000212
513432144001233141140
6200305211530102410
710116436166204616
oct760161430640046
9143657278422416
1034100100677670
11a957853932405
1239a89b287aa06
1316048198674b1
1485c64cc76a46
153e204dc591d0
hex1f038c634026

34100100677670 has 64 divisors (see below), whose sum is σ = 86263569492480. Its totient is φ = 8603167603968.

The previous prime is 34100100677521. The next prime is 34100100677681. The reversal of 34100100677670 is 7677600100143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39835399 + ... + 40682418.

It is an arithmetic number, because the mean of its divisors is an integer number (1347868273320).

Almost surely, 234100100677670 is an apocalyptic number.

34100100677670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34100100677670 is an abundant number, since it is smaller than the sum of its proper divisors (52163468814810).

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

34100100677670 is a wasteful number, since it uses less digits than its factorization.

34100100677670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80518589.

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 34100100677670 in words is "thirty-four trillion, one hundred billion, one hundred million, six hundred seventy-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 743 1486 2229 3715 4458 7430 11145 14117 22290 28234 42351 70585 84702 141170 211755 423510 80517817 161035634 241553451 402589085 483106902 805178170 1207767255 1529838523 2415534510 3059677046 4589515569 7649192615 9179031138 15298385230 22947577845 45895155690 59824738031 119649476062 179474214093 299123690155 358948428186 598247380310 897371070465 1136670022589 1794742140930 2273340045178 3410010067767 5683350112945 6820020135534 11366700225890 17050050338835 34100100677670