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3420441400 = 235241417127
BaseRepresentation
bin1100101111011111…
…1100101100111000
322211101011102111211
43023313330230320
524001113111100
61323223532504
7150522162235
oct31367745470
98741142454
103420441400
1114a5828282
127b55ba134
1342683212c
142463ac78c
151504441ba
hexcbdfcb38

3420441400 has 48 divisors (see below), whose sum is σ = 8146509840. Its totient is φ = 1334803200.

The previous prime is 3420441391. The next prime is 3420441413. The reversal of 3420441400 is 41440243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200364 + ... + 216763.

It is an arithmetic number, because the mean of its divisors is an integer number (169718955).

Almost surely, 23420441400 is an apocalyptic number.

It is an amenable number.

3420441400 is an abundant number, since it is smaller than the sum of its proper divisors (4726068440).

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

3420441400 is a wasteful number, since it uses less digits than its factorization.

3420441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417184 (or 417175 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3420441400 is about 58484.5398374647. The cubic root of 3420441400 is about 1506.7020695034.

Adding to 3420441400 its reverse (41440243), we get a palindrome (3461881643).

The spelling of 3420441400 in words is "three billion, four hundred twenty million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 417127 834254 1668508 2085635 3337016 4171270 8342540 10428175 16685080 17102207 20856350 34204414 41712700 68408828 83425400 85511035 136817656 171022070 342044140 427555175 684088280 855110350 1710220700 3420441400