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1380334830 = 235731434931
BaseRepresentation
bin101001001000110…
…0011110011101110
310120012100021102020
41102101203303232
510311331203310
6344545211010
746130436540
oct12221436356
93505307366
101380334830
11649187a96
12326330a66
1318cc84894
14d1473690
15812ad170
hex52463cee

1380334830 has 128 divisors (see below), whose sum is σ = 3999891456. Its totient is φ = 298166400.

The previous prime is 1380334807. The next prime is 1380334867. The reversal of 1380334830 is 384330831.

1380334830 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13803348302 = 3810648485822257800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1380334791 and 1380334800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277465 + ... + 282395.

It is an arithmetic number, because the mean of its divisors is an integer number (31249152).

Almost surely, 21380334830 is an apocalyptic number.

1380334830 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 1380334830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999945728).

1380334830 is an abundant number, since it is smaller than the sum of its proper divisors (2619556626).

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

1380334830 is a wasteful number, since it uses less digits than its factorization.

1380334830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1380334830 is about 37152.8576289900. The cubic root of 1380334830 is about 1113.4263173282.

The spelling of 1380334830 in words is "one billion, three hundred eighty million, three hundred thirty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 43 62 70 86 93 105 129 155 186 210 215 217 258 301 310 430 434 465 602 645 651 903 930 1085 1290 1302 1333 1505 1806 2170 2666 3010 3255 3999 4515 4931 6510 6665 7998 9030 9331 9862 13330 14793 18662 19995 24655 27993 29586 34517 39990 46655 49310 55986 69034 73965 93310 103551 139965 147930 152861 172585 207102 212033 279930 305722 345170 424066 458583 517755 636099 764305 917166 1035510 1060165 1070027 1272198 1484231 1528610 2120330 2140054 2292915 2968462 3180495 3210081 4452693 4585830 5350135 6360990 6420162 6573023 7421155 8905386 10700270 13146046 14842310 16050405 19719069 22263465 32100810 32865115 39438138 44526930 46011161 65730230 92022322 98595345 138033483 197190690 230055805 276066966 460111610 690167415 1380334830