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1023423240 = 233577611601
BaseRepresentation
bin111101000000000…
…011001100001000
32122022202021202110
4331000003030020
54043444020430
6245315302320
734234645140
oct7500031410
92568667673
101023423240
11485772034
122468aa9a0
1313404b7a8
1499cc7920
155ecab7b0
hex3d003308

1023423240 has 128 divisors (see below), whose sum is σ = 3515685120. Its totient is φ = 233472000.

The previous prime is 1023423197. The next prime is 1023423287. The reversal of 1023423240 is 423243201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 638440 + ... + 640040.

It is an arithmetic number, because the mean of its divisors is an integer number (27466290).

Almost surely, 21023423240 is an apocalyptic number.

1023423240 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 1023423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757842560).

1023423240 is an abundant number, since it is smaller than the sum of its proper divisors (2492261880).

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

1023423240 is a wasteful number, since it uses less digits than its factorization.

1023423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2379 counting only the distinct ones).

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

The square root of 1023423240 is about 31990.9868556755. The cubic root of 1023423240 is about 1007.7475668591.

Adding to 1023423240 its reverse (423243201), we get a palindrome (1446666441).

The spelling of 1023423240 in words is "one billion, twenty-three million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 761 840 1522 1601 2283 3044 3202 3805 4566 4803 5327 6088 6404 7610 8005 9132 9606 10654 11207 11415 12808 15220 15981 16010 18264 19212 21308 22414 22830 24015 26635 30440 31962 32020 33621 38424 42616 44828 45660 48030 53270 56035 63924 64040 67242 79905 89656 91320 96060 106540 112070 127848 134484 159810 168105 192120 213080 224140 268968 319620 336210 448280 639240 672420 1218361 1344840 2436722 3655083 4873444 6091805 7310166 8528527 9746888 12183610 14620332 17057054 18275415 24367220 25585581 29240664 34114108 36550830 42642635 48734440 51171162 68228216 73101660 85285270 102342324 127927905 146203320 170570540 204684648 255855810 341141080 511711620 1023423240