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3405400770 = 2358911311287
BaseRepresentation
bin1100101011111010…
…0100101011000010
322210022212021122110
43022332210223002
523433240311040
61321525320150
7150250300062
oct31276445302
98708767573
103405400770
111498295002
127b0566056
13423697155
142443b53a2
1514de72980
hexcafa4ac2

3405400770 has 64 divisors (see below), whose sum is σ = 8338671360. Its totient is φ = 889878528.

The previous prime is 3405400741. The next prime is 3405400771. The reversal of 3405400770 is 770045043.

3405400770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3405400771) 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, 296067 + ... + 307353.

It is an arithmetic number, because the mean of its divisors is an integer number (130291740).

Almost surely, 23405400770 is an apocalyptic number.

3405400770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3405400770 is an abundant number, since it is smaller than the sum of its proper divisors (4933270590).

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

3405400770 is a wasteful number, since it uses less digits than its factorization.

3405400770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499.

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 3405400770 is about 58355.8117928283. The cubic root of 3405400770 is about 1504.4903621296.

The spelling of 3405400770 in words is "three billion, four hundred five million, four hundred thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 89 113 178 226 267 339 445 534 565 678 890 1130 1335 1695 2670 3390 10057 11287 20114 22574 30171 33861 50285 56435 60342 67722 100570 112870 150855 169305 301710 338610 1004543 1275431 2009086 2550862 3013629 3826293 5022715 6027258 6377155 7652586 10045430 12754310 15068145 19131465 30136290 38262930 113513359 227026718 340540077 567566795 681080154 1135133590 1702700385 3405400770