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3530984490 = 23251121719073
BaseRepresentation
bin1101001001110110…
…1000110000101010
3100010002011121010100
43102131220300222
524212413000430
61342213130230
7153333605265
oct32235506052
910102147110
103530984490
11155216aa00
12826629976
134436c7747
14256d45cdc
15159ecc960
hexd2768c2a

3530984490 has 144 divisors (see below), whose sum is σ = 10685178504. Its totient is φ = 805601280.

The previous prime is 3530984489. The next prime is 3530984533. The reversal of 3530984490 is 944890353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2230011729 + 1300972761 = 47223^2 + 36069^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175594 + ... + 194666.

Almost surely, 23530984490 is an apocalyptic number.

3530984490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3530984490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342589252).

3530984490 is an abundant number, since it is smaller than the sum of its proper divisors (7154194014).

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

3530984490 is a wasteful number, since it uses less digits than its factorization.

3530984490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19125 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3530984490 is about 59422.0875600984. The cubic root of 3530984490 is about 1522.7616705072.

The spelling of 3530984490 in words is "three billion, five hundred thirty million, nine hundred eighty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 121 153 165 170 187 198 242 255 306 330 363 374 495 510 561 605 726 765 935 990 1089 1122 1210 1530 1683 1815 1870 2057 2178 2805 3366 3630 4114 5445 5610 6171 8415 10285 10890 12342 16830 18513 19073 20570 30855 37026 38146 57219 61710 92565 95365 114438 171657 185130 190730 209803 286095 324241 343314 419606 572190 629409 648482 858285 972723 1049015 1258818 1621205 1716570 1888227 1945446 2098030 2307833 2918169 3147045 3242410 3566651 3776454 4615666 4863615 5836338 6294090 6923499 7133302 9441135 9727230 10699953 11539165 13846998 14590845 17833255 18882270 20770497 21399906 23078330 29181690 32099859 34617495 35666510 39233161 41540994 53499765 64199718 69234990 78466322 103852485 106999530 117699483 160499295 196165805 207704970 235398966 320998590 353098449 392331610 588497415 706196898 1176994830 1765492245 3530984490