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3534430896 = 243317945707
BaseRepresentation
bin1101001010101011…
…0010001010110000
3100010022122200201000
43102222302022300
524214303242041
61342415042000
7153405111153
oct32252621260
910108580630
103534430896
111554104277
12827810300
13444333339
142575a1c9a
1515a45dbb6
hexd2ab22b0

3534430896 has 80 divisors (see below), whose sum is σ = 10202025600. Its totient is φ = 1171536192.

The previous prime is 3534430859. The next prime is 3534430897. The reversal of 3534430896 is 6980344353.

3534430896 is a `hidden beast` number, since 3 + 534 + 4 + 30 + 89 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3534430897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54475 + ... + 100181.

It is an arithmetic number, because the mean of its divisors is an integer number (127525320).

Almost surely, 23534430896 is an apocalyptic number.

3534430896 is a gapful number since it is divisible by the number (36) 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 3534430896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101012800).

3534430896 is an abundant number, since it is smaller than the sum of its proper divisors (6667594704).

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

3534430896 is a wasteful number, since it uses less digits than its factorization.

3534430896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45903 (or 45891 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3534430896 is about 59451.0798556258. The cubic root of 3534430896 is about 1523.2569382764.

The spelling of 3534430896 in words is "three billion, five hundred thirty-four million, four hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 1074 1432 1611 2148 2864 3222 4296 4833 6444 8592 9666 12888 19332 25776 38664 45707 77328 91414 137121 182828 274242 365656 411363 548484 731312 822726 1096968 1234089 1645452 2193936 2468178 3290904 4936356 6581808 8181553 9872712 16363106 19745424 24544659 32726212 49089318 65452424 73633977 98178636 130904848 147267954 196357272 220901931 294535908 392714544 441803862 589071816 883607724 1178143632 1767215448 3534430896