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3420767550 = 235228181157
BaseRepresentation
bin1100101111100100…
…1100010100111110
322211101202222220110
43023321030110332
524001204030200
61323234530450
7150525021144
oct31371142476
98741688813
103420767550
1114a5a30322
127b5736a26
13426917715
14246455594
151504aab50
hexcbe4c53e

3420767550 has 48 divisors (see below), whose sum is σ = 8513798832. Its totient is φ = 908947200.

The previous prime is 3420767531. The next prime is 3420767563. The reversal of 3420767550 is 557670243.

It is a super-2 number, since 2×34207675502 = 23403301262266005000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3420767499 and 3420767508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1572 + ... + 82728.

It is an arithmetic number, because the mean of its divisors is an integer number (177370809).

Almost surely, 23420767550 is an apocalyptic number.

3420767550 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 3420767550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256899416).

3420767550 is an abundant number, since it is smaller than the sum of its proper divisors (5093031282).

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

3420767550 is a wasteful number, since it uses less digits than its factorization.

3420767550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81453 (or 81448 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 3420767550 is about 58487.3281147293. The cubic root of 3420767550 is about 1506.7499575978.

The spelling of 3420767550 in words is "three billion, four hundred twenty million, seven hundred sixty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 281 562 843 1405 1686 2810 4215 7025 8430 14050 21075 42150 81157 162314 243471 405785 486942 811570 1217355 2028925 2434710 4057850 6086775 12173550 22805117 45610234 68415351 114025585 136830702 228051170 342076755 570127925 684153510 1140255850 1710383775 3420767550