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34959990 = 23513175273
BaseRepresentation
bin1000010101011…
…1001001110110
32102210011002110
42011113021312
532422204430
63245151450
7603104112
oct205271166
972704073
1034959990
1118808a5a
12b85b586
1373207b0
144900742
1531087b0
hex2157276

34959990 has 64 divisors (see below), whose sum is σ = 95691456. Its totient is φ = 8097792.

The previous prime is 34959983. The next prime is 34960021. The reversal of 34959990 is 9995943.

34959990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3994 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (1495179).

Almost surely, 234959990 is an apocalyptic number.

34959990 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 34959990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47845728).

34959990 is an abundant number, since it is smaller than the sum of its proper divisors (60731466).

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

34959990 is a wasteful number, since it uses less digits than its factorization.

34959990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313.

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 34959990 is about 5912.6973540001. The cubic root of 34959990 is about 326.9819402908.

The spelling of 34959990 in words is "thirty-four million, nine hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 5273 6630 10546 15819 26365 31638 52730 68549 79095 89641 137098 158190 179282 205647 268923 342745 411294 448205 537846 685490 896410 1028235 1165333 1344615 2056470 2330666 2689230 3495999 5826665 6991998 11653330 17479995 34959990