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1034426700 = 22355242569
BaseRepresentation
bin111101101010000…
…001100101001100
32200002110022200000
4331222001211030
54104303123300
6250351204300
734430324166
oct7552014514
92602408600
101034426700
114909a80aa
1224a516690
13136402008
149b54d936
1560c31c00
hex3da8194c

1034426700 has 108 divisors (see below), whose sum is σ = 3362519160. Its totient is φ = 275840640.

The previous prime is 1034426683. The next prime is 1034426801. The reversal of 1034426700 is 76244301.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3016 + ... + 45584.

Almost surely, 21034426700 is an apocalyptic number.

1034426700 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 1034426700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681259580).

1034426700 is an abundant number, since it is smaller than the sum of its proper divisors (2328092460).

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

1034426700 is a wasteful number, since it uses less digits than its factorization.

1034426700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42598 (or 42579 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1034426700 is about 32162.5045666534. The cubic root of 1034426700 is about 1011.3463403208.

The spelling of 1034426700 in words is "one billion, thirty-four million, four hundred twenty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 42569 85138 127707 170276 212845 255414 383121 425690 510828 638535 766242 851380 1064225 1149363 1277070 1532484 1915605 2128450 2298726 2554140 3192675 3448089 3831210 4256900 4597452 5746815 6385350 6896178 7662420 9578025 10344267 11493630 12770700 13792356 17240445 19156050 20688534 22987260 28734075 34480890 38312100 41377068 51721335 57468150 68961780 86202225 103442670 114936300 172404450 206885340 258606675 344808900 517213350 1034426700