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1434302040 = 2335372111531
BaseRepresentation
bin101010101111101…
…1011011001011000
310200221220002111210
41111133123121120
510414140131130
6354154023120
750354236413
oct12537333130
93627802453
101434302040
11676698396
12340417aa0
1319b1cb942
14d86c0b7a
1585dbd5b0
hex557db658

1434302040 has 128 divisors (see below), whose sum is σ = 4443045120. Its totient is φ = 370137600.

The previous prime is 1434302033. The next prime is 1434302069. The reversal of 1434302040 is 402034341.

1434302040 is digitally balanced in base 6, 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 = 1434301998 and 1434302016.

It is a congruent number.

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, 936075 + ... + 937605.

It is an arithmetic number, because the mean of its divisors is an integer number (34711290).

Almost surely, 21434302040 is an apocalyptic number.

1434302040 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 1434302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221522560).

1434302040 is an abundant number, since it is smaller than the sum of its proper divisors (3008743080).

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

1434302040 is a wasteful number, since it uses less digits than its factorization.

1434302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1434302040 is about 37872.1802910791. The cubic root of 1434302040 is about 1127.7518253380.

Adding to 1434302040 its reverse (402034341), we get a palindrome (1836336381).

The spelling of 1434302040 in words is "one billion, four hundred thirty-four million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 211 222 296 370 422 444 555 633 740 844 888 1055 1110 1266 1480 1531 1688 2110 2220 2532 3062 3165 4220 4440 4593 5064 6124 6330 7655 7807 8440 9186 12248 12660 15310 15614 18372 22965 23421 25320 30620 31228 36744 39035 45930 46842 56647 61240 62456 78070 91860 93684 113294 117105 156140 169941 183720 187368 226588 234210 283235 312280 323041 339882 453176 468420 566470 646082 679764 849705 936840 969123 1132940 1292164 1359528 1615205 1699410 1938246 2265880 2584328 3230410 3398820 3876492 4845615 6460820 6797640 7752984 9691230 11952517 12921640 19382460 23905034 35857551 38764920 47810068 59762585 71715102 95620136 119525170 143430204 179287755 239050340 286860408 358575510 478100680 717151020 1434302040