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356014020 = 2235191272459
BaseRepresentation
bin10101001110000…
…101011111000100
3220210220101102110
4111032011133010
51212114422040
655154341020
711552032515
oct2516053704
9823811373
10356014020
11172a6266a
129b28a770
13589b06ab
14353d4a0c
15213c5980
hex153857c4

356014020 has 96 divisors (see below), whose sum is σ = 1057996800. Its totient is φ = 89195904.

The previous prime is 356014007. The next prime is 356014027. The reversal of 356014020 is 20410653.

It is a happy number.

356014020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (356014027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143551 + ... + 146009.

It is an arithmetic number, because the mean of its divisors is an integer number (11020800).

Almost surely, 2356014020 is an apocalyptic number.

356014020 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 356014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528998400).

356014020 is an abundant number, since it is smaller than the sum of its proper divisors (701982780).

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

356014020 is a wasteful number, since it uses less digits than its factorization.

356014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 356014020 is about 18868.3337897123. Note that the first 3 decimals coincide. The cubic root of 356014020 is about 708.7434098221.

Adding to 356014020 its reverse (20410653), we get a palindrome (376424673).

It can be divided in two parts, 35601 and 4020, that added together give a triangular number (39621 = T281).

The spelling of 356014020 in words is "three hundred fifty-six million, fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2413 2459 2540 3810 4826 4918 7239 7377 7620 9652 9836 12065 12295 14478 14754 24130 24590 28956 29508 36195 36885 46721 48260 49180 72390 73770 93442 140163 144780 147540 186884 233605 280326 312293 467210 560652 624586 700815 934420 936879 1249172 1401630 1561465 1873758 2803260 3122930 3747516 4684395 5933567 6245860 9368790 11867134 17800701 18737580 23734268 29667835 35601402 59335670 71202804 89003505 118671340 178007010 356014020