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1020340432 = 241941711153
BaseRepresentation
bin111100110100010…
…010100011010000
32122002221122221101
4330310102203100
54042201343212
6245125234144
734166515306
oct7464224320
92562848841
101020340432
11483a56961
12245862954
1313350c547
1499724276
155e89d157
hex3cd128d0

1020340432 has 80 divisors (see below), whose sum is σ = 2163611520. Its totient is φ = 464486400.

The previous prime is 1020340397. The next prime is 1020340469. The reversal of 1020340432 is 2340430201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884368 + ... + 885520.

It is an arithmetic number, because the mean of its divisors is an integer number (27045144).

Almost surely, 21020340432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081805760).

1020340432 is an abundant number, since it is smaller than the sum of its proper divisors (1143271088).

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

1020340432 is a wasteful number, since it uses less digits than its factorization.

1020340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1020340432 is about 31942.7680704099. The cubic root of 1020340432 is about 1006.7346861826.

Adding to 1020340432 its reverse (2340430201), we get a palindrome (3360770633).

The spelling of 1020340432 in words is "one billion, twenty million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 41 71 76 82 142 152 164 284 304 328 568 656 779 1136 1153 1349 1558 2306 2698 2911 3116 4612 5396 5822 6232 9224 10792 11644 12464 18448 21584 21907 23288 43814 46576 47273 55309 81863 87628 94546 110618 163726 175256 189092 221236 327452 350512 378184 442472 654904 756368 884944 898187 1309808 1555397 1796374 3110794 3356383 3592748 6221588 6712766 7185496 12443176 13425532 14370992 24886352 26851064 53702128 63771277 127542554 255085108 510170216 1020340432