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34813950 = 23522310091
BaseRepresentation
bin1000010011001…
…1011111111110
32102111201202120
42010303133332
532403021300
63242103410
7601625253
oct204633776
972451676
1034813950
1118719266
12b7aab66
13729c192
1448a342a
1530ca3a0
hex21337fe

34813950 has 48 divisors (see below), whose sum is σ = 90101376. Its totient is φ = 8879200.

The previous prime is 34813939. The next prime is 34813963. The reversal of 34813950 is 5931843.

It is a super-2 number, since 2×348139502 = 2424022229205000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1596 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (1877112).

Almost surely, 234813950 is an apocalyptic number.

34813950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34813950 is an abundant number, since it is smaller than the sum of its proper divisors (55287426).

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

34813950 is a wasteful number, since it uses less digits than its factorization.

34813950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 34813950 is about 5900.3347362671. The cubic root of 34813950 is about 326.5259991788.

The spelling of 34813950 in words is "thirty-four million, eight hundred thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 10091 20182 30273 50455 60546 100910 151365 232093 252275 302730 464186 504550 696279 756825 1160465 1392558 1513650 2320930 3481395 5802325 6962790 11604650 17406975 34813950