Search a number
-
+
34679490 = 23517531283
BaseRepresentation
bin1000010001001…
…0101011000010
32102020220022120
42010102223002
532334220430
63235145110
7600525246
oct204225302
972226276
1034679490
111863723a
12b745196
137252c11
14486a426
1530a0610
hex2112ac2

34679490 has 64 divisors (see below), whose sum is σ = 89859456. Its totient is φ = 8532992.

The previous prime is 34679479. The next prime is 34679597. The reversal of 34679490 is 9497643.

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, 26389 + ... + 27671.

It is an arithmetic number, because the mean of its divisors is an integer number (1404054).

Almost surely, 234679490 is an apocalyptic number.

34679490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34679490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44929728).

34679490 is an abundant number, since it is smaller than the sum of its proper divisors (55179966).

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

34679490 is a wasteful number, since it uses less digits than its factorization.

34679490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 34679490 is about 5888.9294443048. The cubic root of 34679490 is about 326.1050823625.

The spelling of 34679490 in words is "thirty-four million, six hundred seventy-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 510 530 795 901 1283 1590 1802 2566 2703 3849 4505 5406 6415 7698 9010 12830 13515 19245 21811 27030 38490 43622 65433 67999 109055 130866 135998 203997 218110 327165 339995 407994 654330 679990 1019985 1155983 2039970 2311966 3467949 5779915 6935898 11559830 17339745 34679490