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351061020 = 223351275119
BaseRepresentation
bin10100111011001…
…100010000011100
3220110120202012000
4110323030100130
51204332423040
654500242300
711461653342
oct2473142034
9813522160
10351061020
1117018a382
12996a0390
135796811b
14348a5992
1520c48130
hex14ecc41c

351061020 has 96 divisors (see below), whose sum is σ = 1101004800. Its totient is φ = 92860992.

The previous prime is 351061013. The next prime is 351061027. The reversal of 351061020 is 20160153.

351061020 is a `hidden beast` number, since 3 + 51 + 0 + 610 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (351061013) and next prime (351061027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 351060984 and 351061002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351061027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66021 + ... + 71139.

It is an arithmetic number, because the mean of its divisors is an integer number (11468800).

Almost surely, 2351061020 is an apocalyptic number.

351061020 is a gapful number since it is divisible by the number (30) 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 351061020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550502400).

351061020 is an abundant number, since it is smaller than the sum of its proper divisors (749943780).

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

351061020 is a wasteful number, since it uses less digits than its factorization.

351061020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 351061020 is about 18736.6224277483. The cubic root of 351061020 is about 705.4412809969.

The spelling of 351061020 in words is "three hundred fifty-one million, sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3429 3810 4572 5119 5715 6858 7620 10238 11430 13716 15357 17145 20476 22860 25595 30714 34290 46071 51190 61428 68580 76785 92142 102380 138213 153570 184284 230355 276426 307140 460710 552852 650113 691065 921420 1300226 1382130 1950339 2600452 2764260 3250565 3900678 5851017 6501130 7801356 9751695 11702034 13002260 17553051 19503390 23404068 29255085 35106102 39006780 58510170 70212204 87765255 117020340 175530510 351061020