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1434305640 = 2335174991409
BaseRepresentation
bin101010101111101…
…1100010001101000
310200221220021110010
41111133130101220
510414140240030
6354154051520
750354253045
oct12537342150
93627807403
101434305640
116766a0069
12340419ba0
1319b200481
14d86c21cc
1585dbe6b0
hex557dc468

1434305640 has 128 divisors (see below), whose sum is σ = 4568400000. Its totient is φ = 359006208.

The previous prime is 1434305597. The next prime is 1434305641. The reversal of 1434305640 is 465034341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1434305598 and 1434305607.

It is not an unprimeable number, because it can be changed into a prime (1434305641) 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, 1017256 + ... + 1018664.

It is an arithmetic number, because the mean of its divisors is an integer number (35690625).

Almost surely, 21434305640 is an apocalyptic number.

1434305640 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 1434305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284200000).

1434305640 is an abundant number, since it is smaller than the sum of its proper divisors (3134094360).

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

1434305640 is a wasteful number, since it uses less digits than its factorization.

1434305640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1434305640 is about 37872.2278193401. The cubic root of 1434305640 is about 1127.7527688638.

Adding to 1434305640 its reverse (465034341), we get a palindrome (1899339981).

The spelling of 1434305640 in words is "one billion, four hundred thirty-four million, three hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 499 510 680 998 1020 1409 1497 1996 2040 2495 2818 2994 3992 4227 4990 5636 5988 7045 7485 8454 8483 9980 11272 11976 14090 14970 16908 16966 19960 21135 23953 25449 28180 29940 33816 33932 42270 42415 47906 50898 56360 59880 67864 71859 84540 84830 95812 101796 119765 127245 143718 169080 169660 191624 203592 239530 254490 287436 339320 359295 479060 508980 574872 703091 718590 958120 1017960 1406182 1437180 2109273 2812364 2874360 3515455 4218546 5624728 7030910 8437092 10546365 11952547 14061820 16874184 21092730 23905094 28123640 35857641 42185460 47810188 59762735 71715282 84370920 95620376 119525470 143430564 179288205 239050940 286861128 358576410 478101880 717152820 1434305640