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4074434532 = 22327314112721
BaseRepresentation
bin1111001011011010…
…1110111111100100
3101111221202201102200
43302312232333210
531321023401112
61512145134500
7202653056610
oct36266567744
911457681380
104074434532
111800a03a73
1295862a430
134cc18380c
142a91ac340
1518ca79cdc
hexf2daefe4

4074434532 has 144 divisors (see below), whose sum is σ = 12447611904. Its totient is φ = 1099008000.

The previous prime is 4074434411. The next prime is 4074434543. The reversal of 4074434532 is 2354344704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313932 + ... + 326652.

Almost surely, 24074434532 is an apocalyptic number.

4074434532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074434532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223805952).

4074434532 is an abundant number, since it is smaller than the sum of its proper divisors (8373177372).

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

4074434532 is a wasteful number, since it uses less digits than its factorization.

4074434532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 4074434532 is about 63831.2974331558. The cubic root of 4074434532 is about 1597.1870538360.

The spelling of 4074434532 in words is "four billion, seventy-four million, four hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 41 42 62 63 82 84 93 123 124 126 164 186 217 246 252 279 287 369 372 434 492 558 574 651 738 861 868 1116 1148 1271 1302 1476 1722 1953 2542 2583 2604 3444 3813 3906 5084 5166 7626 7812 8897 10332 11439 12721 15252 17794 22878 25442 26691 35588 38163 45756 50884 53382 76326 80073 89047 106764 114489 152652 160146 178094 228978 267141 320292 356188 394351 457956 521561 534282 788702 801423 1043122 1068564 1183053 1564683 1577404 1602846 2086244 2366106 2760457 3129366 3205692 3549159 3650927 4694049 4732212 5520914 6258732 7098318 7301854 8281371 9388098 10952781 11041828 14196636 14603708 16168391 16562742 18776196 21905562 24844113 32336782 32858343 33125484 43811124 48505173 49688226 64673564 65716686 97010346 99376452 113178737 131433372 145515519 194020692 226357474 291031038 339536211 452714948 582062076 679072422 1018608633 1358144844 2037217266 4074434532