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34955130 = 235734379
BaseRepresentation
bin1000010101010…
…1111101111010
32102202220102110
42011111331322
532422031010
63245113150
7603054000
oct205257572
972686373
1034955130
1118805341
12b8587b6
13731b512
1448dca70
153107120
hex2155f7a

34955130 has 128 divisors (see below), whose sum is σ = 101376000. Its totient is φ = 7705152.

The previous prime is 34955113. The next prime is 34955131. The reversal of 34955130 is 3155943.

It is a super-2 number, since 2×349551302 = 2443722226633800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34955131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442431 + ... + 442509.

It is an arithmetic number, because the mean of its divisors is an integer number (792000).

Almost surely, 234955130 is an apocalyptic number.

34955130 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 34955130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688000).

34955130 is an abundant number, since it is smaller than the sum of its proper divisors (66420870).

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

34955130 is a wasteful number, since it uses less digits than its factorization.

34955130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 34955130 is about 5912.2863597766. The cubic root of 34955130 is about 326.9667876751.

The spelling of 34955130 in words is "thirty-four million, nine hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 49 70 79 86 98 105 129 147 158 210 215 237 245 258 294 301 343 395 430 474 490 553 602 645 686 735 790 903 1029 1106 1185 1290 1470 1505 1659 1715 1806 2058 2107 2370 2765 3010 3318 3397 3430 3871 4214 4515 5145 5530 6321 6794 7742 8295 9030 10191 10290 10535 11613 12642 14749 16590 16985 19355 20382 21070 23226 23779 27097 29498 31605 33970 38710 44247 47558 50955 54194 58065 63210 71337 73745 81291 88494 101910 116130 118895 135485 142674 147490 162582 166453 221235 237790 270970 332906 356685 406455 442470 499359 713370 812910 832265 998718 1165171 1664530 2330342 2496795 3495513 4993590 5825855 6991026 11651710 17477565 34955130