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74134416 = 24317471933
BaseRepresentation
bin1000110101100…
…11001110010000
312011111102022010
410122303032100
5122434300131
611204542520
71560063216
oct432631620
9164442263
1074134416
1138935314
12209b1a40
1312488625
149bbacb6
156795b46
hex46b3390

74134416 has 80 divisors (see below), whose sum is σ = 207201024. Its totient is φ = 22751232.

The previous prime is 74134391. The next prime is 74134427. The reversal of 74134416 is 61443147.

It is a super-2 number, since 2×741344162 = 10991823271322112, 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, 37386 + ... + 39318.

Almost surely, 274134416 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 74134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103600512).

74134416 is an abundant number, since it is smaller than the sum of its proper divisors (133066608).

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

74134416 is a wasteful number, since it uses less digits than its factorization.

74134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 74134416 is about 8610.1344937231. The cubic root of 74134416 is about 420.0876914403.

The spelling of 74134416 in words is "seventy-four million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 752 799 816 1128 1598 1933 2256 2397 3196 3866 4794 5799 6392 7732 9588 11598 12784 15464 19176 23196 30928 32861 38352 46392 65722 90851 92784 98583 131444 181702 197166 262888 272553 363404 394332 525776 545106 726808 788664 1090212 1453616 1544467 1577328 2180424 3088934 4360848 4633401 6177868 9266802 12355736 18533604 24711472 37067208 74134416