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34994970 = 23353137113
BaseRepresentation
bin1000010101111…
…1101100011010
32102211221002000
42011133230122
532424314340
63250021430
7603311103
oct205375432
972757060
1034994970
111883226a
12b877876
1373336aa
14490d3aa
153113d30
hex215fb1a

34994970 has 128 divisors (see below), whose sum is σ = 99809280. Its totient is φ = 8709120.

The previous prime is 34994957. The next prime is 34994989. The reversal of 34994970 is 7949943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309634 + ... + 309746.

It is an arithmetic number, because the mean of its divisors is an integer number (779760).

Almost surely, 234994970 is an apocalyptic number.

34994970 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 34994970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904640).

34994970 is an abundant number, since it is smaller than the sum of its proper divisors (64814310).

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

34994970 is a wasteful number, since it uses less digits than its factorization.

34994970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 34994970 is about 5915.6546552347. The cubic root of 34994970 is about 327.0909603029.

The spelling of 34994970 in words is "thirty-four million, nine hundred ninety-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 37 45 54 62 74 90 93 111 113 135 155 185 186 222 226 270 279 310 333 339 370 465 555 558 565 666 678 837 930 999 1017 1110 1130 1147 1395 1665 1674 1695 1998 2034 2294 2790 3051 3330 3390 3441 3503 4181 4185 4995 5085 5735 6102 6882 7006 8362 8370 9990 10170 10323 10509 11470 12543 15255 17205 17515 20646 20905 21018 25086 30510 30969 31527 34410 35030 37629 41810 51615 52545 61938 62715 63054 75258 94581 103230 105090 112887 125430 129611 154845 157635 188145 189162 225774 259222 309690 315270 376290 388833 472905 564435 648055 777666 945810 1128870 1166499 1296110 1944165 2332998 3499497 3888330 5832495 6998994 11664990 17497485 34994970