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1045345480 = 235435910301
BaseRepresentation
bin111110010011101…
…011010011001000
32200212000001102021
4332103223103020
54120102023410
6251421214224
734622201314
oct7623532310
92625001367
101045345480
11497085593
12252101374
13138755b2a
149cb92b44
1561b8beda
hex3e4eb4c8

1045345480 has 64 divisors (see below), whose sum is σ = 2447755200. Its totient is φ = 401452800.

The previous prime is 1045345403. The next prime is 1045345489. The reversal of 1045345480 is 845435401.

It is not an unprimeable number, because it can be changed into a prime (1045345489) 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, 96330 + ... + 106630.

It is an arithmetic number, because the mean of its divisors is an integer number (38246175).

Almost surely, 21045345480 is an apocalyptic number.

1045345480 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 1045345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223877600).

1045345480 is an abundant number, since it is smaller than the sum of its proper divisors (1402409720).

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

1045345480 is a wasteful number, since it uses less digits than its factorization.

1045345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 1045345480 is about 32331.8029191074. The cubic root of 1045345480 is about 1014.8922790872.

The spelling of 1045345480 in words is "one billion, forty-five million, three hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 59 86 118 172 215 236 295 344 430 472 590 860 1180 1720 2360 2537 5074 10148 10301 12685 20296 20602 25370 41204 50740 51505 82408 101480 103010 206020 412040 442943 607759 885886 1215518 1771772 2214715 2431036 3038795 3543544 4429430 4862072 6077590 8858860 12155180 17717720 24310360 26133637 52267274 104534548 130668185 209069096 261336370 522672740 1045345480