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34194984 = 23319314159
BaseRepresentation
bin1000001001110…
…0011000101000
32101100021200220
42002130120220
532223214414
63220530040
7563436555
oct202343050
971307626
1034194984
111833621a
12b550920
137113525
144781a2c
153006ca9
hex209c628

34194984 has 128 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 10022400.

The previous prime is 34194983. The next prime is 34194989. The reversal of 34194984 is 48949143.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34194983) 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, 579547 + ... + 579605.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 234194984 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 34194984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

34194984 is an abundant number, since it is smaller than the sum of its proper divisors (62573016).

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

34194984 is a wasteful number, since it uses less digits than its factorization.

34194984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 34194984 is about 5847.6477322082. The cubic root of 34194984 is about 324.5792867845.

The spelling of 34194984 in words is "thirty-four million, one hundred ninety-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 41 57 59 62 76 82 93 114 118 123 124 152 164 177 186 228 236 246 248 328 354 372 456 472 492 589 708 744 779 984 1121 1178 1271 1416 1558 1767 1829 2242 2337 2356 2419 2542 3116 3363 3534 3658 3813 4484 4674 4712 4838 5084 5487 6232 6726 7068 7257 7316 7626 8968 9348 9676 10168 10974 13452 14136 14514 14632 15252 18696 19352 21948 24149 26904 29028 30504 34751 43896 45961 48298 58056 69502 72447 74989 91922 96596 104253 137883 139004 144894 149978 183844 193192 208506 224967 275766 278008 289788 299956 367688 417012 449934 551532 579576 599912 834024 899868 1103064 1424791 1799736 2849582 4274373 5699164 8548746 11398328 17097492 34194984