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1023422064 = 243729105031
BaseRepresentation
bin111101000000000…
…010111001110000
32122022202020010220
4331000002321300
54043444001224
6245315253040
734234641540
oct7500027160
92568666126
101023422064
11485771165
122468aa180
1313404b0b2
1499cc7320
155ecab279
hex3d002e70

1023422064 has 80 divisors (see below), whose sum is σ = 3125752320. Its totient is φ = 282320640.

The previous prime is 1023422051. The next prime is 1023422087. The reversal of 1023422064 is 4602243201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42772 + ... + 62259.

It is an arithmetic number, because the mean of its divisors is an integer number (39071904).

Almost surely, 21023422064 is an apocalyptic number.

1023422064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1023422064 is an abundant number, since it is smaller than the sum of its proper divisors (2102330256).

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

1023422064 is a wasteful number, since it uses less digits than its factorization.

1023422064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105078 (or 105072 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1023422064 is about 31990.9684754932. The cubic root of 1023422064 is about 1007.7471808631.

Adding to 1023422064 its reverse (4602243201), we get a palindrome (5625665265).

The spelling of 1023422064 in words is "one billion, twenty-three million, four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 105031 210062 315093 420124 630186 735217 840248 1260372 1470434 1680496 2205651 2520744 2940868 3045899 4411302 5041488 5881736 6091798 8822604 9137697 11763472 12183596 17645208 18275394 21321293 24367192 35290416 36550788 42642586 48734384 63963879 73101576 85285172 127927758 146203152 170570344 255855516 341140688 511711032 1023422064