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1434646520 = 235318271399
BaseRepresentation
bin101010110000010…
…1111011111111000
310200222112121001022
41111200233133320
510414232142040
6354205242012
750360202626
oct12540573770
93628477038
101434646520
1167690318a
12340563308
1319b2bc688
14d8770516
1585e3a6b5
hex5582f7f8

1434646520 has 64 divisors (see below), whose sum is σ = 3338496000. Its totient is φ = 554279040.

The previous prime is 1434646511. The next prime is 1434646523. The reversal of 1434646520 is 256464341.

It is a super-2 number, since 2×14346465202 = 4116421274696220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434646523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024781 + ... + 1026179.

It is an arithmetic number, because the mean of its divisors is an integer number (52164000).

Almost surely, 21434646520 is an apocalyptic number.

1434646520 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 1434646520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

1434646520 is an abundant number, since it is smaller than the sum of its proper divisors (1903849480).

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

1434646520 is a wasteful number, since it uses less digits than its factorization.

1434646520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 1434646520 is about 37876.7279473821. The cubic root of 1434646520 is about 1127.8421031271.

The spelling of 1434646520 in words is "one billion, four hundred thirty-four million, six hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 827 1240 1399 1654 2798 3308 4135 5596 6616 6995 8270 11192 13990 16540 25637 27980 33080 43369 51274 55960 86738 102548 128185 173476 205096 216845 256370 346952 433690 512740 867380 1025480 1156973 1734760 2313946 4627892 5784865 9255784 11569730 23139460 35866163 46278920 71732326 143464652 179330815 286929304 358661630 717323260 1434646520