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3414074454 = 233731476199
BaseRepresentation
bin1100101101111110…
…1010010001010110
322210221011221201000
43023133222101112
523443000340304
61322435244130
7150414103560
oct31337522126
98727157630
103414074454
1114a217973a
127b3449646
134254130cb
142455d2330
1514ead7939
hexcb7ea456

3414074454 has 128 divisors (see below), whose sum is σ = 9142272000. Its totient is φ = 923749920.

The previous prime is 3414074401. The next prime is 3414074459. The reversal of 3414074454 is 4544704143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414074459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547647 + ... + 553845.

It is an arithmetic number, because the mean of its divisors is an integer number (71424000).

Almost surely, 23414074454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414074454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571136000).

3414074454 is an abundant number, since it is smaller than the sum of its proper divisors (5728197546).

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

3414074454 is a wasteful number, since it uses less digits than its factorization.

3414074454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 3414074454 is about 58430.0817558901. The cubic root of 3414074454 is about 1505.7666103939.

Adding to 3414074454 its reverse (4544704143), we get a palindrome (7958778597).

The spelling of 3414074454 in words is "three billion, four hundred fourteen million, seventy-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 47 54 62 63 93 94 126 141 186 189 217 279 282 329 378 423 434 558 651 658 837 846 987 1269 1302 1457 1674 1953 1974 2538 2914 2961 3906 4371 5859 5922 6199 8742 8883 10199 11718 12398 13113 17766 18597 20398 26226 30597 37194 39339 43393 55791 61194 78678 86786 91791 111582 130179 167373 183582 192169 260358 275373 291353 334746 384338 390537 550746 576507 582706 781074 874059 1153014 1171611 1345183 1729521 1748118 2039471 2343222 2622177 2690366 3459042 4035549 4078942 5188563 5244354 6118413 7866531 8071098 9031943 10377126 12106647 12236826 15733062 18063886 18355239 24213294 27095829 36319941 36710478 54191658 55065717 63223601 72639882 81287487 110131434 126447202 162574974 189670803 243862461 379341606 487724922 569012409 1138024818 1707037227 3414074454