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34276480 = 275721093
BaseRepresentation
bin1000001011000…
…0010010000000
32101111102111021
42002300102000
532233321410
63222355224
7564226300
oct202602200
971442437
1034276480
1118391477
12b58bb14
137141654
1447a3600
153020eda
hex20b0480

34276480 has 96 divisors (see below), whose sum is σ = 95407740. Its totient is φ = 11741184.

The previous prime is 34276469. The next prime is 34276507. The reversal of 34276480 is 8467243.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 2286144 = 5656^2 + 1512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30814 + ... + 31906.

Almost surely, 234276480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47703870).

34276480 is an abundant number, since it is smaller than the sum of its proper divisors (61131260).

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

34276480 is a wasteful number, since it uses less digits than its factorization.

34276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34276480 is about 5854.6118573309. The cubic root of 34276480 is about 324.8369359501.

The spelling of 34276480 in words is "thirty-four million, two hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1093 1120 1568 1960 2186 2240 3136 3920 4372 4480 5465 6272 7651 7840 8744 10930 15302 15680 17488 21860 30604 31360 34976 38255 43720 53557 61208 69952 76510 87440 107114 122416 139904 153020 174880 214228 244832 267785 306040 349760 428456 489664 535570 612080 699520 856912 979328 1071140 1224160 1713824 2142280 2448320 3427648 4284560 4896640 6855296 8569120 17138240 34276480