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3514829796 = 22324122412
BaseRepresentation
bin1101000110000000…
…0000101111100100
3100001221202212001100
43101200000233210
524144244023141
61340435000100
7153046363122
oct32140005744
910057685040
103514829796
111544036715
12821139030
1344025c65a
14254b3c912
1515888b0b6
hexd1800be4

3514829796 has 81 divisors (see below), whose sum is σ = 9144638139. Its totient is φ = 1138291200.

The previous prime is 3514829789. The next prime is 3514829803. The reversal of 3514829796 is 6979284153.

The square root of 3514829796 is 59286.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3514829789) and next prime (3514829803).

It can be written as a sum of positive squares in 4 ways, for example, as 306740196 + 3208089600 = 17514^2 + 56640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14584236 + ... + 14584476.

Almost surely, 23514829796 is an apocalyptic number.

3514829796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3514829796 is the 59286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3514829796

3514829796 is an abundant number, since it is smaller than the sum of its proper divisors (5629808343).

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

3514829796 is a wasteful number, since it uses less digits than its factorization.

3514829796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The cubic root of 3514829796 is about 1520.4358451199.

It can be divided in two parts, 3514829 and 796, that added together give a square (3515625 = 18752).

The spelling of 3514829796 in words is "three billion, five hundred fourteen million, eight hundred twenty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 241 246 369 482 492 723 738 964 1446 1476 1681 2169 2892 3362 4338 5043 6724 8676 9881 10086 15129 19762 20172 29643 30258 39524 58081 59286 60516 88929 116162 118572 174243 177858 232324 348486 355716 405121 522729 696972 810242 1045458 1215363 1620484 2090916 2381321 2430726 3646089 4762642 4861452 7143963 7292178 9525284 14287926 14584356 21431889 28575852 42863778 85727556 97634161 195268322 292902483 390536644 585804966 878707449 1171609932 1757414898 3514829796