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34476680 = 2357177243
BaseRepresentation
bin1000001110000…
…1001010001000
32101212121010002
42003201022020
532311223210
63230542132
7566022050
oct203411210
971777102
1034476680
1118508927
12b667948
1371b1804
144816560
1530604a5
hex20e1288

34476680 has 64 divisors (see below), whose sum is σ = 93882240. Its totient is φ = 11123712.

The previous prime is 34476667. The next prime is 34476703. The reversal of 34476680 is 8667443.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (1466910).

Almost surely, 234476680 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 34476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46941120).

34476680 is an abundant number, since it is smaller than the sum of its proper divisors (59405560).

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

34476680 is a wasteful number, since it uses less digits than its factorization.

34476680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 34476680 is about 5871.6845964340. The cubic root of 34476680 is about 325.4681379821.

The spelling of 34476680 in words is "thirty-four million, four hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 7243 14486 28972 36215 50701 57944 72430 101402 123131 144860 202804 246262 253505 289720 405608 492524 507010 615655 861917 985048 1014020 1231310 1723834 2028040 2462620 3447668 4309585 4925240 6895336 8619170 17238340 34476680