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34880256 = 283215139
BaseRepresentation
bin1000010100001…
…1101100000000
32102122002201100
42011003230000
532412132011
63243334400
7602322465
oct205035400
972562640
1034880256
1118764064
12b821400
1372c3408
1448bd66c
1530ded56
hex2143b00

34880256 has 54 divisors (see below), whose sum is σ = 100575020. Its totient is φ = 11625984.

The previous prime is 34880189. The next prime is 34880273. The reversal of 34880256 is 65208843.

It is a super-3 number, since 3×348802563 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34880256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5266 + ... + 9873.

Almost surely, 234880256 is an apocalyptic number.

34880256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34880256 is an abundant number, since it is smaller than the sum of its proper divisors (65694764).

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

34880256 is a wasteful number, since it uses less digits than its factorization.

34880256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15161 (or 15144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34880256 is about 5905.9508971884. The cubic root of 34880256 is about 326.7331661554.

The spelling of 34880256 in words is "thirty-four million, eight hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 15139 30278 45417 60556 90834 121112 136251 181668 242224 272502 363336 484448 545004 726672 968896 1090008 1453344 1937792 2180016 2906688 3875584 4360032 5813376 8720064 11626752 17440128 34880256