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3434411484 = 22327373371093
BaseRepresentation
bin1100110010110100…
…1111010111011100
322212100110011212100
43030231033113130
524013202131414
61324443205100
7151052005320
oct31455172734
98770404770
103434411484
1115026aa1a9
127ba216790
134296b3a5a
142481a7980
151517a3609
hexccb4f5dc

3434411484 has 144 divisors (see below), whose sum is σ = 10229372608. Its totient is φ = 951035904.

The previous prime is 3434411473. The next prime is 3434411531. The reversal of 3434411484 is 4841144343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3141642 + ... + 3142734.

Almost surely, 23434411484 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 3434411484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114686304).

3434411484 is an abundant number, since it is smaller than the sum of its proper divisors (6794961124).

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

3434411484 is a wasteful number, since it uses less digits than its factorization.

3434411484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1479 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3434411484 is about 58603.8521259482. The cubic root of 3434411484 is about 1508.7505539373.

The spelling of 3434411484 in words is "three billion, four hundred thirty-four million, four hundred eleven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 337 444 518 666 674 777 1011 1036 1093 1332 1348 1554 2022 2186 2331 2359 3033 3108 3279 4044 4372 4662 4718 6066 6558 7077 7651 9324 9436 9837 12132 12469 13116 14154 15302 19674 21231 22953 24938 28308 30604 37407 39348 40441 42462 45906 49876 68859 74814 80882 84924 87283 91812 112221 121323 137718 149628 161764 174566 224442 242646 261849 275436 283087 349132 363969 368341 448884 485292 523698 566174 727938 736682 785547 849261 1047396 1105023 1132348 1455876 1473364 1571094 1698522 2210046 2547783 2578387 3142188 3315069 3397044 4420092 5095566 5156774 6630138 7735161 10191132 10313548 13260276 13628617 15470322 23205483 27257234 30940644 40885851 46410966 54514468 81771702 92821932 95400319 122657553 163543404 190800638 245315106 286200957 381601276 490630212 572401914 858602871 1144803828 1717205742 3434411484