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1434401020 = 225132835113
BaseRepresentation
bin101010101111111…
…0011100011111100
310200222002010021201
41111133303203330
510414201313040
6354200105244
750355131113
oct12537634374
93628063251
101434401020
11676755798
12340465224
1319b234a00
14d8708c7a
1585ddca9a
hex557f38fc

1434401020 has 72 divisors (see below), whose sum is σ = 3301721136. Its totient is φ = 523141632.

The previous prime is 1434400973. The next prime is 1434401021. The reversal of 1434401020 is 201044341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434401021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277984 + ... + 283096.

It is an arithmetic number, because the mean of its divisors is an integer number (45857238).

Almost surely, 21434401020 is an apocalyptic number.

1434401020 is a gapful number since it is divisible by the number (10) 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 1434401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650860568).

1434401020 is an abundant number, since it is smaller than the sum of its proper divisors (1867320116).

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

1434401020 is a wasteful number, since it uses less digits than its factorization.

1434401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1434401020 is about 37873.4870324875. The cubic root of 1434401020 is about 1127.7777664822. Note that the first 4 decimals are identical.

Adding to 1434401020 its reverse (201044341), we get a palindrome (1635445361).

The spelling of 1434401020 in words is "one billion, four hundred thirty-four million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 169 260 332 338 415 676 830 845 1079 1660 1690 2158 3380 4316 5113 5395 10226 10790 14027 20452 21580 25565 28054 51130 56108 66469 70135 102260 132938 140270 265876 280540 332345 424379 664690 848758 864097 1329380 1697516 1728194 2121895 3456388 4243790 4320485 5516927 8487580 8640970 11033854 17281940 22067708 27584635 55169270 71720051 110338540 143440102 286880204 358600255 717200510 1434401020