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1354445430 = 235132311859
BaseRepresentation
bin101000010111011…
…0011001001110110
310111101121221211120
41100232303021312
510233214223210
6342222244410
745364411332
oct12056631166
93441557746
101354445430
11635604998
12319726706
131877bb900
14cbc547c2
157dd97270
hex50bb3276

1354445430 has 96 divisors (see below), whose sum is σ = 3535384320. Its totient is φ = 331943040.

The previous prime is 1354445399. The next prime is 1354445467. The reversal of 1354445430 is 345444531.

It is a happy number.

1354445430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1354445391 and 1354445400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576341 + ... + 1577199.

It is an arithmetic number, because the mean of its divisors is an integer number (36826920).

Almost surely, 21354445430 is an apocalyptic number.

1354445430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354445430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767692160).

1354445430 is an abundant number, since it is smaller than the sum of its proper divisors (2180938890).

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

1354445430 is a wasteful number, since it uses less digits than its factorization.

1354445430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 1354445430 is about 36802.7910626355. The cubic root of 1354445430 is about 1106.4212392841.

Adding to 1354445430 its reverse (345444531), we get a palindrome (1699889961).

The spelling of 1354445430 in words is "one billion, three hundred fifty-four million, four hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 311 338 390 507 622 845 859 933 1014 1555 1690 1718 1866 2535 2577 3110 4043 4295 4665 5070 5154 8086 8590 9330 11167 12129 12885 20215 22334 24258 25770 33501 40430 52559 55835 60645 67002 105118 111670 121290 145171 157677 167505 262795 267149 290342 315354 335010 435513 525590 534298 725855 788385 801447 871026 1335745 1451710 1576770 1602894 2177565 2671490 3472937 4007235 4355130 6945874 8014470 10418811 17364685 20837622 34729370 45148181 52094055 90296362 104188110 135444543 225740905 270889086 451481810 677222715 1354445430