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1034464830 = 235747163643
BaseRepresentation
bin111101101010001…
…010111000111110
32200002112020222020
4331222022320332
54104310333310
6250352101010
734430543310
oct7552127076
92602466866
101034464830
11490a23813
1224a534766
13136416489
149b55d7b0
1560c3d170
hex3da8ae3e

1034464830 has 128 divisors (see below), whose sum is σ = 2920071168. Its totient is φ = 229640832.

The previous prime is 1034464819. The next prime is 1034464843. The reversal of 1034464830 is 384644301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1034464791 and 1034464800.

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, 1608489 + ... + 1609131.

It is an arithmetic number, because the mean of its divisors is an integer number (22813056).

Almost surely, 21034464830 is an apocalyptic number.

1034464830 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 1034464830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460035584).

1034464830 is an abundant number, since it is smaller than the sum of its proper divisors (1885606338).

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

1034464830 is a wasteful number, since it uses less digits than its factorization.

1034464830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1034464830 is about 32163.0973321911. The cubic root of 1034464830 is about 1011.3587665798.

The spelling of 1034464830 in words is "one billion, thirty-four million, four hundred sixty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 163 210 235 282 326 329 470 489 643 658 705 815 978 987 1141 1286 1410 1630 1645 1929 1974 2282 2445 3215 3290 3423 3858 4501 4890 4935 5705 6430 6846 7661 9002 9645 9870 11410 13503 15322 17115 19290 22505 22983 27006 30221 34230 38305 45010 45966 53627 60442 67515 76610 90663 104809 107254 114915 135030 151105 160881 181326 209618 211547 229830 268135 302210 314427 321762 423094 453315 524045 536270 628854 634641 733663 804405 906630 1048090 1057735 1269282 1467326 1572135 1608810 2115470 2200989 3144270 3173205 3668315 4401978 4926023 6346410 7336630 9852046 11004945 14778069 22009890 24630115 29556138 34482161 49260230 68964322 73890345 103446483 147780690 172410805 206892966 344821610 517232415 1034464830