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34078770 = 232511291187
BaseRepresentation
bin1000001000000…
…0000000110010
32101010101021200
42002000000302
532211010040
63214232030
7562444005
oct202000062
971111250
1034078770
1118266980
12b4b5616
1370a266b
14475153c
152ed2630
hex2080032

34078770 has 96 divisors (see below), whose sum is σ = 100077120. Its totient is φ = 7969920.

The previous prime is 34078699. The next prime is 34078777. The reversal of 34078770 is 7787043.

It is a happy number.

It is a super-2 number, since 2×340787702 = 2322725129425800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34078777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28117 + ... + 29303.

It is an arithmetic number, because the mean of its divisors is an integer number (1042470).

Almost surely, 234078770 is an apocalyptic number.

34078770 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 34078770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50038560).

34078770 is an abundant number, since it is smaller than the sum of its proper divisors (65998350).

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

34078770 is a wasteful number, since it uses less digits than its factorization.

34078770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 34078770 is about 5837.7024590159. The cubic root of 34078770 is about 324.2111677822.

The spelling of 34078770 in words is "thirty-four million, seventy-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1187 1305 1595 1914 2374 2610 2871 3190 3561 4785 5742 5935 7122 9570 10683 11870 13057 14355 17805 21366 26114 28710 34423 35610 39171 53415 65285 68846 78342 103269 106830 117513 130570 172115 195855 206538 235026 309807 344230 378653 391710 516345 587565 619614 757306 1032690 1135959 1175130 1549035 1893265 2271918 3098070 3407877 3786530 5679795 6815754 11359590 17039385 34078770