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1434220040 = 2351147223311
BaseRepresentation
bin101010101111100…
…0111011000001000
310200221201221000202
41111133013120020
510414130020130
6354152151332
750353445351
oct12537073010
93627657022
101434220040
11676641820
12340398548
1319b1a0516
14d869cd28
1585da4145
hex557c7608

1434220040 has 128 divisors (see below), whose sum is σ = 3622993920. Its totient is φ = 506515200.

The previous prime is 1434220019. The next prime is 1434220097. The reversal of 1434220040 is 400224341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1434219994 and 1434220021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611485 + ... + 4611795.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 21434220040 is an apocalyptic number.

1434220040 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 1434220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811496960).

1434220040 is an abundant number, since it is smaller than the sum of its proper divisors (2188773880).

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

1434220040 is a wasteful number, since it uses less digits than its factorization.

1434220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1434220040 is about 37871.0976867584. The cubic root of 1434220040 is about 1127.7303334882.

Adding to 1434220040 its reverse (400224341), we get a palindrome (1834444381).

The spelling of 1434220040 in words is "one billion, four hundred thirty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 223 235 311 376 440 446 470 517 622 892 940 1034 1115 1244 1555 1784 1880 2068 2230 2453 2488 2585 3110 3421 4136 4460 4906 5170 6220 6842 8920 9812 10340 10481 12265 12440 13684 14617 17105 19624 20680 20962 24530 27368 29234 34210 41924 49060 52405 58468 68420 69353 73085 83848 98120 104810 115291 116936 136840 138706 146170 160787 209620 230582 277412 292340 321574 346765 419240 461164 554824 576455 584680 643148 693530 762883 803935 922328 1152910 1286296 1387060 1525766 1607870 2305820 2774120 3051532 3215740 3259591 3814415 4611640 6103064 6431480 6519182 7628830 13038364 15257660 16297955 26076728 30515320 32595910 35855501 65191820 71711002 130383640 143422004 179277505 286844008 358555010 717110020 1434220040