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3414054444 = 2231719880819
BaseRepresentation
bin1100101101111110…
…0101011000101100
322210221010221020220
43023133211120230
523442444220234
61322435011340
7150413661333
oct31337453054
98727127226
103414054444
1114a21656a9
127b3439b50
13425406c78
142455c8d1a
1514ead1a49
hexcb7e562c

3414054444 has 48 divisors (see below), whose sum is σ = 8878665600. Its totient is φ = 1014702336.

The previous prime is 3414054409. The next prime is 3414054481. The reversal of 3414054444 is 4444504143.

It is a super-2 number, since 2×34140544442 = 23311535493192298272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436534 + ... + 444285.

It is an arithmetic number, because the mean of its divisors is an integer number (184972200).

Almost surely, 23414054444 is an apocalyptic number.

3414054444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3414054444 is an abundant number, since it is smaller than the sum of its proper divisors (5464611156).

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

3414054444 is a wasteful number, since it uses less digits than its factorization.

3414054444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880862 (or 880860 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 3414054444 is about 58429.9105253465. The cubic root of 3414054444 is about 1505.7636686060.

Adding to 3414054444 its reverse (4444504143), we get a palindrome (7858558587).

The spelling of 3414054444 in words is "three billion, four hundred fourteen million, fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 880819 1761638 2642457 3523276 5284914 10569828 14973923 16735561 29947846 33471122 44921769 50206683 59895692 66942244 89843538 100413366 179687076 200826732 284504537 569009074 853513611 1138018148 1707027222 3414054444