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2038413030 = 235478091787
BaseRepresentation
bin111100101111111…
…1011011011100110
312021001122002222220
41321133323123212
513133313204110
6534134133210
7101341140063
oct17137733346
95231562886
102038413030
119566a3975
1248a7b1206
13266406774
14154a17c6a
15bde4e370
hex797fb6e6

2038413030 has 64 divisors (see below), whose sum is σ = 5005255680. Its totient is φ = 531056384.

The previous prime is 2038413017. The next prime is 2038413037. The reversal of 2038413030 is 303148302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038413037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139797 + ... + 1141583.

It is an arithmetic number, because the mean of its divisors is an integer number (78207120).

Almost surely, 22038413030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038413030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502627840).

2038413030 is an abundant number, since it is smaller than the sum of its proper divisors (2966842650).

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

2038413030 is a wasteful number, since it uses less digits than its factorization.

2038413030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2038413030 is about 45148.7876913655. The cubic root of 2038413030 is about 1267.9361834190.

The spelling of 2038413030 in words is "two billion, thirty-eight million, four hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 809 1410 1618 1787 2427 3574 4045 4854 5361 8090 8935 10722 12135 17870 24270 26805 38023 53610 76046 83989 114069 167978 190115 228138 251967 380230 419945 503934 570345 839890 1140690 1259835 1445683 2519670 2891366 4337049 7228415 8674098 14456830 21685245 43370490 67947101 135894202 203841303 339735505 407682606 679471010 1019206515 2038413030