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1045434040 = 235717219629
BaseRepresentation
bin111110010100000…
…000111010111000
32200212011112220021
4332110000322320
54120112342130
6251423140224
734623020440
oct7624007270
92625145807
101045434040
11497136082
12252144674
13138787231
149cbb7120
1561ba837a
hex3e500eb8

1045434040 has 64 divisors (see below), whose sum is σ = 2846404800. Its totient is φ = 337348608.

The previous prime is 1045434029. The next prime is 1045434059. The reversal of 1045434040 is 404345401.

It is a junction number, because it is equal to n+sod(n) for n = 1045433996 and 1045434014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105055 + ... + 114574.

It is an arithmetic number, because the mean of its divisors is an integer number (44475075).

Almost surely, 21045434040 is an apocalyptic number.

1045434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045434040 is an abundant number, since it is smaller than the sum of its proper divisors (1800970760).

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

1045434040 is a wasteful number, since it uses less digits than its factorization.

1045434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219664 (or 219660 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1045434040 is about 32333.1724394622. The cubic root of 1045434040 is about 1014.9209382957.

Adding to 1045434040 its reverse (404345401), we get a palindrome (1449779441).

The spelling of 1045434040 in words is "one billion, forty-five million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 219629 439258 878516 1098145 1537403 1757032 2196290 3074806 3733693 4392580 6149612 7467386 7687015 8785160 12299224 14934772 15374030 18668465 26135851 29869544 30748060 37336930 52271702 61496120 74673860 104543404 130679255 149347720 209086808 261358510 522717020 1045434040