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34190988 = 22313613593
BaseRepresentation
bin1000001001101…
…1011010001100
32101100002012220
42002123122030
532223102423
63220455340
7563422116
oct202333214
971302186
1034190988
1118333217
12b54a550
137111770
1447803b6
1530059e3
hex209b68c

34190988 has 48 divisors (see below), whose sum is σ = 87348576. Its totient is φ = 10344960.

The previous prime is 34190983. The next prime is 34190993. The reversal of 34190988 is 88909143.

It is an interprime number because it is at equal distance from previous prime (34190983) and next prime (34190993).

It is a super-2 number, since 2×341909882 = 2338047320832288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34190983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7720 + ... + 11312.

It is an arithmetic number, because the mean of its divisors is an integer number (1819762).

Almost surely, 234190988 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 34190988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43674288).

34190988 is an abundant number, since it is smaller than the sum of its proper divisors (53157588).

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

34190988 is a wasteful number, since it uses less digits than its factorization.

34190988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 34190988 is about 5847.3060463773. The cubic root of 34190988 is about 324.5666429286.

The spelling of 34190988 in words is "thirty-four million, one hundred ninety thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 3593 4758 7186 9516 10779 14372 21558 43116 46709 93418 140127 186836 219173 280254 438346 560508 657519 876692 1315038 2630076 2849249 5698498 8547747 11396996 17095494 34190988