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1234148080 = 245116172273
BaseRepresentation
bin100100110001111…
…1001101011110000
310012000021012220011
41021203321223300
510011420214310
6322244024304
742404041234
oct11143715360
93160235804
101234148080
1158370a7a0
122a5392094
131688bc549
14b9c9c5c4
157353378a
hex498f9af0

1234148080 has 80 divisors (see below), whose sum is σ = 3136701024. Its totient is φ = 447856640.

The previous prime is 1234148063. The next prime is 1234148081. The reversal of 1234148080 is 808414321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234148081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541824 + ... + 544096.

Almost surely, 21234148080 is an apocalyptic number.

1234148080 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 1234148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568350512).

1234148080 is an abundant number, since it is smaller than the sum of its proper divisors (1902552944).

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

1234148080 is a wasteful number, since it uses less digits than its factorization.

1234148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1234148080 is about 35130.4437774418. The cubic root of 1234148080 is about 1072.6443692254.

The spelling of 1234148080 in words is "one billion, two hundred thirty-four million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 617 880 1234 2273 2468 3085 4546 4936 6170 6787 9092 9872 11365 12340 13574 18184 22730 24680 25003 27148 33935 36368 45460 49360 50006 54296 67870 90920 100012 108592 125015 135740 181840 200024 250030 271480 400048 500060 542960 1000120 1402441 2000240 2804882 5609764 7012205 11219528 14024410 15426851 22439056 28048820 30853702 56097640 61707404 77134255 112195280 123414808 154268510 246829616 308537020 617074040 1234148080