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1234421400 = 233526730707
BaseRepresentation
bin100100110010011…
…1100011010011000
310012000210002211010
41021210330122120
510012002441100
6322253533520
742406260132
oct11144743230
93160702733
101234421400
11583887083
122a54a42a0
13168986a84
14b9d30052
1573589750
hex4993c698

1234421400 has 96 divisors (see below), whose sum is σ = 3883947840. Its totient is φ = 324255360.

The previous prime is 1234421387. The next prime is 1234421429. The reversal of 1234421400 is 41244321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24847 + ... + 55553.

It is an arithmetic number, because the mean of its divisors is an integer number (40457790).

Almost surely, 21234421400 is an apocalyptic number.

1234421400 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 1234421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941973920).

1234421400 is an abundant number, since it is smaller than the sum of its proper divisors (2649526440).

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

1234421400 is a wasteful number, since it uses less digits than its factorization.

1234421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30793 (or 30784 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1234421400 is about 35134.3336353488. Note that the first 3 decimals coincide. The cubic root of 1234421400 is about 1072.7235476005.

Adding to 1234421400 its reverse (41244321), we get a palindrome (1275665721).

The spelling of 1234421400 in words is "one billion, two hundred thirty-four million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 30707 40200 61414 92121 122828 153535 184242 245656 307070 368484 460605 614140 736968 767675 921210 1228280 1535350 1842420 2057369 2303025 3070700 3684840 4114738 4606050 6141400 6172107 8229476 9212100 10286845 12344214 16458952 18424200 20573690 24688428 30860535 41147380 49376856 51434225 61721070 82294760 102868450 123442140 154302675 205736900 246884280 308605350 411473800 617210700 1234421400