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3542630420 = 225724188169
BaseRepresentation
bin1101001100101000…
…0100000000010100
3100010220002021100002
43103022010000110
524223403133140
61343310510432
7153534601400
oct32312040024
910126067302
103542630420
1115587a473a
1282a505418
13445c44524
142586d8100
1515b02d415
hexd3284014

3542630420 has 72 divisors (see below), whose sum is σ = 8865317160. Its totient is φ = 1184977920.

The previous prime is 3542630419. The next prime is 3542630423. The reversal of 3542630420 is 240362453.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 3535253764 = 2716^2 + 59458^2 .

It is a super-3 number, since 3×35426304203 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542630423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3905 + ... + 84264.

It is an arithmetic number, because the mean of its divisors is an integer number (123129405).

Almost surely, 23542630420 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 3542630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432658580).

3542630420 is an abundant number, since it is smaller than the sum of its proper divisors (5322686740).

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

3542630420 is a wasteful number, since it uses less digits than its factorization.

3542630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88233 (or 88224 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 3542630420 is about 59520.0001680108. Note that the first 3 decimals coincide. The cubic root of 3542630420 is about 1524.4339628215.

Adding to 3542630420 its reverse (240362453), we get a palindrome (3782992873).

The spelling of 3542630420 in words is "three billion, five hundred forty-two million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 8036 10045 20090 40180 88169 176338 352676 440845 617183 881690 1234366 1763380 2468732 3085915 3614929 4320281 6171830 7229858 8640562 12343660 14459716 17281124 18074645 21601405 25304503 36149290 43202810 50609006 72298580 86405620 101218012 126522515 177131521 253045030 354263042 506090060 708526084 885657605 1771315210 3542630420