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3070268100 = 22325218472
BaseRepresentation
bin1011011100000000…
…1001001011000100
321220222020210001100
42313000021023010
522241442034400
61224354300100
7136040563644
oct26700111304
97828223040
103070268100
1113360a4959
12718287630
1339c1180b3
14211a98524
1512e824100
hexb70092c4

3070268100 has 81 divisors (see below), whose sum is σ = 9628797997. Its totient is φ = 818294880.

The previous prime is 3070268081. The next prime is 3070268143. The reversal of 3070268100 is 18620703.

The square root of 3070268100 is 55410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1105296516 + 1964971584 = 33246^2 + 44328^2 .

It is a super-2 number, since 2×30702681002 = 18853092411755220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1661377 + ... + 1663223.

Almost surely, 23070268100 is an apocalyptic number.

3070268100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3070268100 is the 55410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3070268100

3070268100 is an abundant number, since it is smaller than the sum of its proper divisors (6558529897).

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

3070268100 is a wasteful number, since it uses less digits than its factorization.

3070268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 3070268100 is about 1453.4232396522.

Adding to 3070268100 its reverse (18620703), we get a palindrome (3088888803).

The spelling of 3070268100 in words is "three billion, seventy million, two hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1847 3694 5541 7388 9235 11082 16623 18470 22164 27705 33246 36940 46175 55410 66492 83115 92350 110820 138525 166230 184700 277050 332460 415575 554100 831150 1662300 3411409 6822818 10234227 13645636 17057045 20468454 30702681 34114090 40936908 51171135 61405362 68228180 85285225 102342270 122810724 153513405 170570450 204684540 255855675 307026810 341140900 511711350 614053620 767567025 1023422700 1535134050 3070268100